المؤلفون: Ayupov, Sh. A., Chilin, V. I., Abdullaev, R. Z.

مصطلحات موضوعية: keyword:Orlicz spaces, keyword:von Neumann algebra, keyword:weight, msc:46L51, msc:46L52

وصف الملف: application/pdf

Relation: mr:MR3016423; reference:[1] Al-Rashed M.H.A., Zegarlinski B.: Noncommutative Orlicz spaces associated to a state.Studia Math. 180 (2007), 199–209. Zbl 1221.46065, MR 2314076; reference:[2] Brawn L.G., Kosaki H.: Jensen's inequality in semi-finite von Neumann algebras.J. Operator Theory 23 (1990), 3–19. MR 1054812; reference:[3] Fack T., Kosaki H.: Generalized $s$-number of $\tau$-measurable operators.Pacific J. Math. 123 (1986), 269–300. MR 0840845, 10.2140/pjm.1986.123.269; reference:[4] Krasnosel'sky M.F., Rutitskii Ya.B.: Convex Functions and Orlicz Spaces.Noordhoff, Groningen, 1961; (translated from the Russian). MR 0126722; reference:[5] Kunze W.: Noncommutative Orlicz spaces and generalized Arens algebras.Math. Nachr. 147 (1990), 123–138. Zbl 0746.46062, MR 1127316, 10.1002/mana.19901470114; reference:[6] Muratov M.A.: Non commutative Orlicz spaces.Dokl. Akad. Nauk UzSSR 6 (1978), 11–13. MR 0511082; reference:[7] Muratov M.A.: The Luxemburg norm in an Orlicz space of measurable operators.Dokl. Akad. Nauk UzSSR 1 (1979), 5–6. MR 0529172; reference:[8] Muratov M.A., Chilin V.I.: Algebras of measurable operators and locally measurable operators.Kyev. Institute of Math. Ukrainian Academy of Sciences, 69, 2007 (Russian).; reference:[9] Pedersen G., Takesaki M.: The Radon-Nikodym theorem for von Neumann algebras.Acta Math. 130 (1973), 53–87. Zbl 0262.46063, MR 0412827, 10.1007/BF02392262; reference:[10] Takesaki M.: Theory of Operator Algebras I.Springer, New York, 1979. Zbl 0990.46034, MR 0548728; reference:[11] Trunov N.V.: The $L_p$-spaces associated with a weight on a semi-finite von Neumann algebra.Constructive theory of functions and functional analysis, no. 3, pp. 88–93, Kazan. Gos. Univ., Kazan, 1981. MR 0652348; reference:[12] Trunov N.V.: On the theory of normal weights on von Neumann algebras.Izv. Vyssh. Uchebn. Zaved. Math. 8 1982, 61–70. Zbl 0521.46056, MR 0675719; reference:[13] Trunov N.V., Sherstnev A.N.: Introduction to the theory of noncommutative integration.N. Soviet Math., 37. Translation from Itogi Nauki i Tekhniki, Sovr. Probl. Math. 27 (1985), 167–190. Zbl 0616.46058, MR 0824264; reference:[14] Yeadon F.J.: Convergence of measurable operators.Proc. Cambridge Philos. Soc. 74 (1973), 257–268. Zbl 0272.46043, MR 0326411; reference:[15] Yeadon F.J.: Non-commutative $L^{p}$-spaces.Math. Proc. Cambridge Philos. Soc. 77 (1975), no. 1, 91–102. MR 0353008, 10.1017/S0305004100049434

الاتاحة: http://hdl.handle.net/10338.dmlcz/143187

المؤلفون: Lugovaya, G. D., Sherstnev, A. N.

مصطلحات موضوعية: msc:46L10, msc:46L51

وصف الملف: application/pdf

Relation: mr:MR1857302; zbl:Zbl 0993.46030; reference:[1] SEGAL I.: A non-commutative extension of abstract integration.Ann. Math. 57 (1953), 401-457. Zbl 0051.34202, MR 0054864; reference:[2] GLEASON A. M.: Measures on the closed subspaces of a Hilbert space.J. Math. Mech. 6 (1957), 885-894. Zbl 0078.28803, MR 0096113; reference:[3] CHRISTENSEN E.: Measures on projections and physical states.Coram. Math. Phуs. 86 (1982), 113-115. Zbl 0507.46052, MR 0679201; reference:[4] YEADON F.: Finiteiy additive measures on projections in finite W* -algebras.Bull. London Math. Soc. 16 (1984), 145-150. MR 0737242; reference:[5] MATVEJCHUK M. S.: Description of finite measures in semifìnite algebras.(Russian), Funktsional. Anal. i Pгilozhen. 15 (1981), 41-53. [English translation: Functional Anal. Appl. 15 (1982), 187-197]. MR 0630338; reference:[6] LUGOVAYA G. D.-SHERSTNEV A. N.: On the linearity problem for unbounded measures on projections.Funktsional. Anal. (Uľyanovsk) no. 23 (1984), 76-81. (Russian) MR 0852249; reference:[7] MATVEJCHUK M. S.: The extension of an unbounded measure to a weight.Izv. Vyssh. Uchebn. Zaved. Mat. 4 (1987), 47-51. (Russian); reference:[8] LUGOVAYA G. D.-SHERSTNEV A. N.: On a problem of the non-commutative measure theory.In: Algebra and Analysis (Abstracts of the Conf. Dedicated to the 100-al B. M. Gagaeff), Kaz. Math. Soc, Kazan, 1997, p. 139. (Russian); reference:[9] LUGOVAYA G. D.-SHERSTNEV A. N.: On the extension problem for unbounded measures on projections to weights.Dokl. Akad. Nauk 365 (1999), 165-166. (Russian) MR 1706062; reference:[10] SHERSTNEV A. N.: On certain problems in the theory of unbounded measures on projections.Atti Sem. Mat. Fis. Univ. Modena 42 (1994), 357-366. Zbl 0820.46063, MR 1310437; reference:[11] DIXMIER J.: Les algèbres ďopérateurs dans ľespace Hilbertien (algèbres de von Neumann).In: Cahiers scientifiques. Fasc. XXV, 2e ed. revue et augmentee (Gauthier-Villars, ed.), Paris, 1969. (French)

الاتاحة: http://hdl.handle.net/10338.dmlcz/131771

المؤلفون: Dubois, Jacques, Hadjou, Brahim

مصطلحات موضوعية: keyword:linear functional, keyword:JBW-algebra, keyword:Lebesgue decomposition, keyword:normal state, keyword:trace states, keyword:state, keyword:Lebesgue decomposition of a linear functional with respect to another linear functional, keyword:support of linear functional, msc:06C15, msc:17C50, msc:46H70, msc:46L30, msc:46L50, msc:46L51, msc:46L53, msc:46L54, msc:46L70, msc:81B10, msc:81P10

وصف الملف: application/pdf

Relation: mr:MR1165895; zbl:Zbl 0762.46061; reference:[1] E. M. Alfsen, F. W. Shultz: On Non-commutative Spectral Theory and Jordan Algebras.Pгoc. London Math. Soc. 38 (1979), 497-516. Zbl 0404.46028, MR 0532984, 10.1112/plms/s3-38.3.497; reference:[2] S. A. Ajupov: A New Proof of the Existence of Traces on Jordan Opeгator Algebras and Real von Newmann Algebras.J. of Functional Analysis 84 (1989), 312-321. MR 1001463, 10.1016/0022-1236(89)90100-6; reference:[3] L. J. Bunce, J. D. Wright: Continuity and Linear Extensions of Quantum Measures on Jordan Operatoг Algebras.Preprint. To appear in Math. Scandinavia.; reference:[4] A. M. Gleason: Measures on the closed subspaces of a Hilbeгt space.J. Math. Mech. 6 (1957), 885-893. MR 0096113; reference:[5] H. Hanche-Olsen, E. Størmer: Jordan Operator Algebras.Pitman, Boston, 1984. MR 0755003; reference:[6] V. Palko: On the Lebesgue Decomposition of Gleason Measures.Časopis pro pěstování Mat. 112 no. 1 (1987), 1-5. Zbl 0621.46058, MR 0880929; reference:[7] G. K. Pederson, E. Størmer: Traces on Jordan Algebras.Can. J. Math. 34 (1982), 370-373. MR 0658972, 10.4153/CJM-1982-024-7; reference:[8] G. T. Rüttimann, C. Schindler: The Lebesgue Decomposition of Measures on Orthomodular Posets.Quart. J. Math. Oxford 31 no. 2 (1986), 321-345. MR 0854631, 10.1093/qmath/37.3.321; reference:[9] F. W. Shultz: On Normed Jordan Algebras Which Are Banach Dual Spaces.J. Funct. Analysis 31 (1979), 360-376. Zbl 0421.46043, MR 0531138, 10.1016/0022-1236(79)90010-7

الاتاحة: http://hdl.handle.net/10338.dmlcz/125900

المؤلفون: Hamhalter, Jan

مصطلحات موضوعية: keyword:von Neumann algebra, keyword:centrally determined state space, keyword:state space of operator algebras, keyword:noncommutative Radon-Nikodym theorem, msc:46L10, msc:46L30, msc:46L50, msc:46L51, msc:46L53, msc:46L54

وصف الملف: application/pdf

Relation: mr:MR1165896; zbl:Zbl 0778.46042; reference:[1] R. V. Kadison J. R. Ringrose: Fundamentals of the Theory of Operator Algebras.Academic Press, 1986. MR 0859186; reference:[2] M. Navara: Stavový Prostor Kvantových Logik.Ph.d. thesis, Prague, 1987.; reference:[3] M. Navara P. Pták: On the Radon-Nikodym property in quantum logics.Proceedings of the Conference Topology and Measure VI, Wardeminde, 1991, to appear. MR 1226290; reference:[4] : Proceedings of the 2nd Winter School on Measure Theory.Liptovský Ján, January 1990.; reference:[5] S. Sakai: A Radon-Nikodym theorem in W*-algebras.Bull. Amer. Math. Soc. 71 (1965), 149-151. MR 0174992, 10.1090/S0002-9904-1965-11265-4; reference:[6] V. Varadarajan: Geometry of Quantum Theory I.Van Nostrand, Princeton, New Jersey, 1968. MR 0471674

الاتاحة: http://hdl.handle.net/10338.dmlcz/125907

المؤلفون: Hamhalter, Jan

مصطلحات موضوعية: msc:46L10, msc:46L30, msc:46L50, msc:46L51, msc:46L53, msc:46L54, msc:81B10, msc:81P10

وصف الملف: application/pdf

Relation: mr:MR1091363; zbl:Zbl 0743.46067; reference:[1] Dvurečenskij A., Pulmannová S.: Random measures on a logic.Demostгatio Mathematica, XIV (1981), 305-320. MR 0632289; reference:[2] Hamhalter J.: States on W* - algebras and orthogonal vector measures.Proc. Amer. Math. Soc. (1990) (to appear). MR 1036987; reference:[3] Gleason A. M.: Measures on closed subspaces in a Hilbert space.J. Math. Mech. 6 (1957), 855-893. MR 0096113; reference:[4] Goldstein M.: Formy ortogonalne na algebrach von Neumanna.Acta univeгsitatis Lodziensis, 1986.; reference:[5] Jajte R.: Gleason measures.Probabilistic analysis and related topics, No. 2 (1979), 69-104. Zbl 0479.46047, MR 0556679; reference:[6] Jajte R., Paszkiewicz A.: Vector measures on closed subspaces of a Hilbert space.Studia Math 58 (1978), 229-251. MR 0632053; reference:[7] Kadison R. V., Ringгose J. R.: Fundamentals of the Theory of Operators Algebras.Vol. I, Academic Press, Inc, 1986. MR 0859186; reference:[8] Matveichuk M. S.: Finite measures on quantum logics.Proceedings of the first Winter School on Measure Theory, Liptovský Ján, January 1988. MR 1000193; reference:[9] Matveichuk M. S.: Theorems on states on quantum logics.(Russian), T. M. F. 45 (1980), 244-250. MR 0604523; reference:[10] Varadarajan V.: Geometry of Quantum Theory.Princeton, D. van Nostrand, 1968. Zbl 0155.56802, MR 0471674

الاتاحة: http://hdl.handle.net/10338.dmlcz/106901

المؤلفون: Dvurečenskij, Anatolij

مصطلحات موضوعية: msc:46C05, msc:46L51, msc:46L53, msc:46L54

وصف الملف: application/pdf

Relation: mr:MR1046444; zbl:Zbl 0715.46031

الاتاحة: http://hdl.handle.net/10338.dmlcz/701792

المؤلفون: Stehlíková, Beáta

مصطلحات موضوعية: msc:46L51, msc:46L53, msc:46L54, msc:47D99, msc:60A99

وصف الملف: application/pdf

Relation: mr:MR978770; zbl:Zbl 0663.60001; reference:[1] GUDDER S. P., MULLIKIN H. C.: Measure theoretic convergences of obseгvables and operators.J. Math. Phys., 14, 1í73, 2, 234-242. MR 0334747; reference:[2] REED M., SIMON B.: Methods of Modern Mathematical physics. Vol. 1.Academic Press N.Y. 1973.; reference:[3] YEH J.: Stochastic Processes and the Wiener Integral.Marcel Dekker N. Y. 1973. Zbl 0277.60018, MR 0474528; reference:[4] VARADARAJAN V. S.: Geometry of Quantum Theory. Vol. 1.Van Nostrand, Princeton N.Y. 1968. MR 0471674

الاتاحة: http://hdl.handle.net/10338.dmlcz/136476

المؤلفون: Dvurečenskij, Anatolij

مصطلحات موضوعية: msc:06C20, msc:46L51, msc:46L53, msc:46L54

وصف الملف: application/pdf

Relation: mr:MR820628; zbl:Zbl 0584.46053; reference:[1] DRISCH T.: Generalization of Gleason's theorem.Inter. J. Theor. Phys., 18, 1979, 4, 239-243. Zbl 0452.46036, MR 0552434; reference:[2] DVUREČENSKIJ A.: Signed measures on a logic.Math. Slovaca, 28, 1978, 1, 33-40. MR 0527772; reference:[3] DVUREČENSKIJ A.: On convergence of signed states.Math. Slovaca, 21, 1978, 3, 289-295. MR 0534996; reference:[4] EILERS M., HORST E.: The theorem of Gleason for nonseparable Hilbert spaces.Inter. J. Theor. Phys. 13, 1975, 6, 419-424. MR 0389054; reference:[5] GLEASON A. M.: Measuгes on the closed substaces of a Hilbert space.J. Math. Mech. 6,1957, 6, 885-893. MR 0096113; reference:[6] ШEPCTHEB A. H., ЛУГOBAЯ Г. Д.: O тeopeмe Глизoнa для нeoгpaничeнныx мep.Изв. Byзoв. Maтeм. 1980, Ho. 12, 30-32.; reference:[7] ШEPCTHEB A. H.: O пpeдcтaвлeнии мep, зaдaнныx нa opтoпpoeктopax пpocтpaнcтвa Гильбepтa, билинeйными фopмaми.Изв. Byзoв. Maтeм., 1970, № 9, 90-97.; reference:[8] ШEPCTHEB A. H.: O пoнятии зapядa в нeкoммyтaтивнoй cxeмe тeopии мepы.Bepoятнocтныe мeтoды и кибepнeтикa, JЧs 10-11, Kaзaнь, КГЧ, 1974, 68-72.

الاتاحة: http://hdl.handle.net/10338.dmlcz/136401

المؤلفون: Lutterová, Tatiana, Pulmannová, Sylvia

مصطلحات موضوعية: msc:46L51, msc:46L53, msc:46L54, msc:47A35

وصف الملف: application/pdf

Relation: mr:MR820633; zbl:Zbl 0597.46066; reference:[1] DVUREČENSKIJ A., RIEČAN B.: On the individual ergodic theorem on a logic.CMUC 21, 2, 1980, 385-391. Zbl 0443.28014, MR 0580693; reference:[2] PULMANNOVÁ S.: Individual ergodic theorem on a logic.Math. Slovaca 32, 1982, 413-416. Zbl 0503.28005, MR 0676579; reference:[3] DVUREČENSKIJ A., PULMANNOVÁ S.: Connection between joint distributions and compatibility.Rep. Math. Phys. 19, 1984, 349-359. MR 0745430; reference:[4] GUDDER S. P.: Joint distributions of observables.J. Math. Mech. 18, 1968, 325-335. Zbl 0241.60092, MR 0232582; reference:[5] PULMANNOVÁ S.: Relative compatibility and joint distributions of obseгvables.Found. Phys. 10, 1980, 641-653. MR 0659345; reference:[6] PULMANNOVÁ S.: Compatibility and paгtial compatibility in quantum logics.Ann. Inst. H. Poincaгé XXXIV 1981, 391-403. MR 0625170; reference:[7] HALMOS P. R.: Intгoduction to the Theory of Hilbert Space and Spectгal Multiplicity.Chelsea Publishing Co, New York 1957.; reference:[8] GLEASON A.: Measures on closed subspaces of a Hilbert space.J. Math. Mech. 6, 1957, 885-894. MR 0096113; reference:[9] GUDDER S. P., MULLIKIN H. C: Measuгe theoгetic conveгgences of obseгvables and opeгatoгs.J. Math. Phys. 14, 1973, 234-242. MR 0334747; reference:[10] VARADARAJAN V. S.: Geometry of Quantum Theory I.van Nostrand, Princeton N. Y. 1968. MR 0471674; reference:[11] LANCE C.: Eгgodic theoгems foг convex sets and opeгator algebгas.Invent. Math. 37, 1976, 201-204.; reference:[12] YEADON F. J.: Ergodic theoгems for semifinite von Neumann algebras I.J. London Math. Soc. 16, 1977, 326-332. MR 0487482; reference:[13] YEADON F. J.: Eгgodic theoгems for semifinite von Neumann algebгas II.Math. Pгoc. Cambг. Phil. Soc. 88, 1980, 135-147.; reference:[14] JAJTE R.: Non-commutative subadditive eгgodic theorem for semifinite von Neumann algebras.to appear.; reference:[15] GUDDER S. P.: Uniqueness and existence pгopeгties of bounded obseгvables.Pac. J. Math. 15, 1966, 81-93. MR 0201146; reference:[16] DVUREČENSKIJ A., PULMANNOVÁ S.: On the sum of obseгvables on a logic.Math. Slovaca З0, 1980, 393-399.; reference:[17] ZIERLER N.: Axioms for nonrelativistic quantum mechanics.Pac. J. Math. 11, 1961, 1161-1169. MR 0140972

الاتاحة: http://hdl.handle.net/10338.dmlcz/131615

المؤلفون: Palko, Vladimír

مصطلحات موضوعية: msc:46L51

وصف الملف: application/pdf

Relation: mr:MR880929; zbl:Zbl 0621.46058; reference:[1] T. A. Cook: The Nikodym-Hahn-Vitale-Saks theorem for states on a quantum logic.Math. foundations of quantum theory (Proc. Conf., Loyola Univ., New Orleans, 1977) p. 275-286. MR 0503098; reference:[2] A. Dvurečenskij: Signed states on a logic.Math. slovaca, 28 (1978), 33-40. MR 0527772; reference:[3] A. Dvurečenskij: On convergences of signed states.Math. slovaca 28 (1978), 289-295. MR 0534996; reference:[4] A. M. Gleason: Мeasures on the closed subspaces of a Hilbert space.J. Math. Mech. 6 (1957), 885-893. MR 0096113; reference:[5] P. R. Halmos: Measure theory.New York 1950. Zbl 0040.16802, MR 0033869; reference:[6] R. Schatten: Norm ideals of completely continuous operators.Springer 1970. Zbl 0188.44103, MR 0257800

الاتاحة: http://hdl.handle.net/10338.dmlcz/118291

المؤلفون: Alda, Václav

مصطلحات موضوعية: keyword:Gleason measure, msc:28C99, msc:46C99, msc:46L51, msc:46L53, msc:46L54

وصف الملف: application/pdf

Relation: mr:MR0602402; zbl:Zbl 0459.28020; reference:[1] N. Zierler M. Schlessinger: .Duke Math. Journal 32 (1965), 25J-262. MR 0175520; reference:[2] A. M. Gleason: .Journal of Math. and Mech. 6 (1957), 885-893. Zbl 0084.03203, MR 0096113; reference:[3] R. Wright: .in Math. Foundations of Quantum Mechanics, ed. by A. R. Marlow, Acad. Press 1978. Zbl 0732.06001; reference:[4] S. Kochen E. P. Specker: .Journal of Math. and Mech. 17 (1967), 59-67. MR 0219280; reference:[5] V. Alda: .In print in Aplikace matematiky 25 (1980). Zbl 0469.46054, MR 0590490; reference:[6] F. Kamber: .Nachrichten der Akad. der Wissen. Göttingen, Math.-Phys. Klasse 10 (1964), 103-124. Zbl 0178.30502, MR 0187595

الاتاحة: http://hdl.handle.net/10338.dmlcz/103894

المؤلفون: Alda, Václav

مصطلحات موضوعية: keyword:Gleason measure, msc:03G12, msc:06E99, msc:46C99, msc:46L51, msc:46L53, msc:46L54, msc:81B10

وصف الملف: application/pdf

Relation: mr:MR0590490; zbl:Zbl 0455.46057; reference:[1] A. M. Gleason: Measure on the closed subspaces of a Hilbert space.Journal of Math. and Mech. 6 (1957), 885-893. MR 0096113; reference:[2] S. Kochen E. P. Specker: The problem of hidden variables in quantum mechanics.Journal of Math. and Mech. 17 (1967), 59-67. MR 0219280

الاتاحة: http://hdl.handle.net/10338.dmlcz/103871