المؤلفون: Matkowski, Janusz

مصطلحات موضوعية: keyword:Lagrange mean-value theorem, keyword:mean, keyword:Darboux property of derivative, keyword:vector-valued function, msc:26A24, msc:26E60

وصف الملف: application/pdf

Relation: mr:MR3058273; zbl:Zbl 1274.26009; reference:[1] Berrone, L. R., Moro, J.: Lagrangian means.Aequationes Math. 55 (1998), 217-226. Zbl 0903.39006, MR 1615392, 10.1007/s000100050031; reference:[2] Matkowski, J.: Mean value property and associated functional equation.Aequationes Math. 58 (1999), 46-59. MR 1714318, 10.1007/s000100050006; reference:[3] Matkowski, J.: A mean-value theorem and its applications.J. Math. Anal. Appl. 373 (2011), 227-234. Zbl 1206.26032, MR 2684472, 10.1016/j.jmaa.2010.06.057

الاتاحة: http://hdl.handle.net/10338.dmlcz/142997

المؤلفون: Schappacher, Gudrun

مصطلحات موضوعية: keyword:vector valued function, keyword:Orlicz space, keyword:Luxemburg norm, keyword:delta-growth condition, keyword:duality, msc:46B10, msc:46E30, msc:46E40

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/134612

المؤلفون: Nowak, Marian

مصطلحات موضوعية: keyword:vector valued function spaces, keyword:locally solid topologies, keyword:strong topologies, keyword:Mackey topologies, keyword:absolute weak topologies, msc:46A40, msc:46E30, msc:46E40

وصف الملف: application/pdf

Relation: mr:MR1761397; zbl:Zbl 1050.46513; reference:[AB$_1$] C.D. Aliprantis and O. Burkinshaw: Locally Solid Riesz Spaces.Academic Press, New York, San Francisco, London, 1978. MR 0493242; reference:[AB$_2$] C.D. Aliprantis and O. Burkinshaw: Positive Operators.Academic Press, Inc., 1985. MR 0809372; reference:[B$_1$] A.V. Bukhvalov: Vector-valued function spaces and tensor products.Siberian Math. J. 13 (1972), no. 6, 1229–1238. (Russian) MR 0358342; reference:[B$_2$] A.V. Bukhvalov: On an analytic representation of operators with abstract norm.Soviet. Math. Dokl. 14 (1973), 197–201. Zbl 0283.47028; reference:[B$_3$] A.V. Bukhvalov: On an analytic representation of operators with abstract norm.Izv. Vyssh. Ucebn. Zaved. Mat. 11 (1975), 21–32. (Russian) MR 0470746; reference:[B$_4$] A.V. Bukhvalov: On an analytic representation of linear operators by vector-valued measurable functions.Izv. Vyssh. Ucebn. Zaved. Mat. 7 (1977), 21–31. (Russian); reference:[CHM] J. Cerda, H. Hudzik, M. Mastyło: Geometric properties of Köthe-Bochner spaces.Math. Proc. Cambridge Philos. Soc. 120 (1996), 521–533. MR 1388204, 10.1017/S0305004100075058; reference:[DU] J. Diestel, J.J. Uhl Jr.: Vector Measures.Amer. Math. Soc., Math. Surveys 15, Providence, 1977. MR 0453964; reference:[FN] K. Feledziak, M. Nowak: Locally solid topologies on vector-valued function spaces.Collect. Math. 48, 4–6 (1997), 487–511. MR 1602576; reference:[FPS] M. Florencio, P.J. Paúl annd C. Sáez: Duals of vector-valued Köthe function spaces.Math. Proc. Cambridge Philos. Soc. 112 (1992), 165–174. MR 1162941, 10.1017/S0305004100070845; reference:[F] D.H. Fremlin: Topological Riesz Spaces and Measure Theory.Camb. Univ. Press, 1974. Zbl 0273.46035, MR 0454575; reference:[G] D.A. Gregory: Some basic properties of vector sequence spaces.J. Reine Angew. Math. 237 (1969), 26–38. MR 0251497; reference:[KA] L.V. Kantorovitch, G.P. Akilov: Functional Analysis.3$^{rd}$ ed., Nauka, Moscow, 1984. (Russian) MR 0788496; reference:[K] G. Köthe: Topological Vector Spaces I.Springer-Verlag, Berlin, Heidelberg, New York, 1983. MR 0248498; reference:[M] A.L. Macdonald: Vector valued Köthe function spaces I.Illinois J. Math. 17 (1973), 533–545. Zbl 0271.46034, MR 0333662, 10.1215/ijm/1256051473; reference:[MR] L.C. Moore, J.C. Reber: Mackey topologies which are locally convex Riesz topologies.Duke Math. J. 39 (1972), 105–119. MR 0295045, 10.1215/S0012-7094-72-03915-4; reference:[N$_1$] M. Nowak: Duality theory of vector valued function spaces I.Comment. Math. 37 (1997), 195–215. Zbl 0908.46023, MR 1608189; reference:[N$_2$] M. Nowak: Duality theory of vector–valued function spaces III.Comment. Math. 38 (1998), 101–108. Zbl 0972.46025, MR 1672244; reference:[PC] N. Phuong-Các: Generalized Köthe function spaces I.Math. Proc. Cambridge Philos. Soc. 65 (1969), 601–611. MR 0248499, 10.1017/S030500410000339X; reference:[Ro] A.P. Robertson, W.J. Robertson: Topological Vector Spaces.Cambridge, 1973. MR 0350361; reference:[R] R.C. Rosier: Dual spaces of certain vector sequence spaces.Pacific J. Math. 46 (1973), 487–501. Zbl 0263.46009, MR 0328544, 10.2140/pjm.1973.46.487; reference:[W] J.H. Webb: Sequential convergence in locally convex spaces.Math. Proc. Cambridge Philos. Soc. 64 (1968), 341–364. Zbl 0157.20202, MR 0222602, 10.1017/S0305004100042900; reference:[We] R. Welland: On Köthe spaces.Trans. Amer. Math. Soc. 112 (1964), 267–277. Zbl 0122.11501, MR 0172110, 10.2307/1994294; reference:[Wi] A. Wilansky: Modern Methods in Topological Vector Spaces.Mc Graw-Hill, Inc., 1978. Zbl 0395.46001, MR 0518316; reference:[V] B.Z. Vulikh: Introduction to the Theory of Partially Ordered Spaces.Wolter-Hoordhoff, Groningen, Netherlands, 1967. Zbl 0186.44601, MR 0224522

الاتاحة: http://hdl.handle.net/10338.dmlcz/127579

المؤلفون: Nowak, Marian

مصطلحات موضوعية: keyword:vector-valued function spaces, keyword:Orlicz functions, keyword:Orlicz spaces, keyword:Orlicz-Bochner spaces, keyword:topological dual, keyword:order dual, keyword:order continuous linear functionals, keyword:singular linear functionals, keyword:modulars, keyword:conjugate modulars, msc:46A20, msc:46E30, msc:46E40

وصف الملف: application/pdf

Relation: mr:MR1732484; zbl:Zbl 1010.46028; reference:[1] Aliprantis C.D., Burkinshaw O.: Locally solid Riesz spaces.Academic Press, New York, 1978. Zbl 1043.46003, MR 0493242; reference:[2] Ando T.: Linear functionals on Orlicz spaces.Niew Arch. Wisk. 8 (1960), 1-16. Zbl 0129.08001, MR 0123907; reference:[3] Behrends E.: M-structure and the Banach-Stone theorem.Lecture Notes in Math. 736, Springer-Verlag, Berlin-Heidelberg-New York, 1979. Zbl 0371.46013, MR 0547509; reference:[4] Bochner S., Taylor A.E.: Linear functionals on certain spaces of abstractly-valued functions.Ann. of Math. (2) 39 (1938), 913-944. Zbl 0020.37101, MR 1503445; reference:[5] Bukhvalov A.V.: On an analytic representation of operators with abstract norm.Soviet Math. Dokl. 14 (1973), 197-201. Zbl 0283.47028; reference:[6] Bukhvalov A.V.: On an analytic representation of operators with abstract norm (in Russian).Izv. Vyss. Uceb. Zaved. 11 (1975), 21-32. 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الاتاحة: http://hdl.handle.net/10338.dmlcz/119107