المؤلفون: Grząślewicz, Ryszard, Seredyński, Witold

مصطلحات موضوعية: keyword:stable convex set, msc:46Axx, msc:46B20, msc:46Cxx, msc:46E30, msc:52A41

وصف الملف: application/pdf

Relation: mr:MR2174521; zbl:Zbl 1121.52001; reference:[1] Chen Shutao: Geometry of Orlicz spaces.Dissertationes Math. 356 (1996), 204 pp. Zbl 1089.46500, MR 1410390; reference:[2] Clausing A., Papadopoulou S.: Stable convex sets and extremal operators.Math. Ann. 231 (1978), 193-203. Zbl 0349.46002, MR 0467249; reference:[3] Granero A.S.: A full characterization of stable unit balls in Orlicz spaces.Proc. Amer. Math. Soc. 116 (1992), 675-681. Zbl 0772.46012, MR 1127140; reference:[4] Granero A.S.: Stable unit balls in Orlicz spaces.Proc. Amer. Math. Soc. 109 (1990), 97-104. Zbl 0722.46014, MR 1000154; reference:[5] Granero A.S., Wisła M.: Closedness of the set of extreme points in Orlicz spaces.Math. Nachr. 157 (1992), 319-394. MR 1233067; reference:[6] Grząślewicz R.: Extreme continuous function property.Acta Math. Hungar. 74 (1997), 93-99. MR 1428050; reference:[7] Grząślewicz R.: Finite dimensional Orlicz spaces.Bull. Polish Acad. Sci. Math. 33 (1985), 5-6 277-283. MR 0816376; reference:[8] Krasnosel'skii M.A., Rutickii Ya.B.: Convex Functions and Orlicz Spaces.Noordhoff, Grooningen, 1961. MR 0126722; reference:[9] Lazar A.J.: Affine functions on simplexes and extreme operators.Israel J. Math. 5 (1967), 31-43. Zbl 0149.08703, MR 0211246; reference:[10] Lima Å.: On continuous convex functions and split faces.Proc. London Math. Soc. 25 (1972), 27-40. Zbl 0236.46024, MR 0303243; reference:[11] Luxemburg W.A.J.: Banach function spaces.Thesis, Delft, 1955. Zbl 0162.44701, MR 0072440; reference:[12] Michael E.: Continuous selections I.Ann. of Math. (2) 63 (1956), 361-382. Zbl 0071.15902, MR 0077107; reference:[13] Musielak J.: Orlicz Spaces and Modular Spaces.Lecture Notes in Math. 1034, Springer, Berlin, 1983. Zbl 0557.46020, MR 0724434; reference:[14] O'Brien R.C.: On the openness of the barycentre map.Math. Ann. 223 (1976), 207-212. Zbl 0321.46004, MR 0420221; reference:[15] Orlicz W.: Über eine gewisse Klasse von Räumen vom Types B.Bull. Intern. Acad. Pol., série A, Kraków, 1932, pp.207-220.; reference:[16] Papadopoulou S.: On the geometry of stable compact convex sets.Math. Ann. 229 (1977), 193-200. Zbl 0339.46001, MR 0450938; reference:[17] Rao M.M., Ren Z.D.: Theory of Orlicz Spaces.Marcel Dekker, New York, 1991. Zbl 0724.46032, MR 1113700; reference:[18] Schaefer H.H.: Banach Lattices and Positive Operators.Springer, Berlin-Heidelberg-New York, 1974. Zbl 0296.47023, MR 0423039; reference:[19] Vesterstrøm J.: On open maps, compact convex sets and operator algebras.J. London Math. Soc. 6 (1973), 289-297. MR 0315464; reference:[20] Wisła M.: Continuity of the identity embedding of Musielak-Orlicz sequence spaces.Proc. of the 14th Winter School on Abstract Analysis, Srní, 1986, Rend. Circ. Mat. Palermo Suppl. 14 (1987), 427-437. MR 0920876; reference:[21] Wisła M.: Extreme points and stable unit balls in Orlicz sequence spaces.Arch. Math. Univ.(Basel) 56 (1991), 482-490. MR 1100574; reference:[22] Wisła M.: Stable points of unit ball in Orlicz spaces.Comment. Math. Univ. Carolinae 32 (1991), 501-515. MR 1159798

الاتاحة: http://hdl.handle.net/10338.dmlcz/119537

المؤلفون: Seredyński, Witold

مصطلحات موضوعية: keyword:stable convex set, msc:46A55, msc:46Cxx, msc:52A05

وصف الملف: application/pdf

Relation: mr:MR2086732; zbl:Zbl 1080.52500; reference:[1] J. Cel: Tietze-type theorem for locally nonconical convex sets.Bull. Soc. Roy. Sci Liège 69 (2000), 13–15. Zbl 0964.46004, MR 1766658; reference:[2] S. Papadopoulou: On the geometry of stable compact convex sets.Math. Ann. 229 (1977), 193–200. Zbl 0339.46001, MR 0450938, 10.1007/BF01391464; reference:[3] G. C. Shell: On the geometry of locally nonconical convex sets.Geom. Dedicata 75 (1999), 187–198. Zbl 0937.52002, MR 1686757, 10.1023/A:1005080830204

الاتاحة: http://hdl.handle.net/10338.dmlcz/127927

المؤلفون: Pázman, Andrej

مصطلحات موضوعية: msc:46Cxx, msc:60G99, msc:62K05, msc:62K99, msc:62M99

وصف الملف: application/pdf

Relation: mr:MR0381170; zbl:Zbl 0291.62105; reference:[1] Aronszajn N.: Theory of Reproducing Kernels.Trans. Amer. Math. Soc. 68 (1950), 337-404. Zbl 0037.20701, MR 0051437; reference:[2] Atwood C. L.: Sequences Converging to D-optimal Designs of Experiments.Ann. of Statist. 1 (1973), 2, 342-352. Zbl 0263.62047, MR 0356385; reference:[3] Halmos P. R.: Introduction to Hilbert Space.Chelsea Publ. Comp., New York 1957. Zbl 0079.12404; reference:[4] Kiefer J., Wolfowitz J.: Optimum Designs in Regression Problems.Ann. Math. Statist. 30 (1959), 271-294. Zbl 0090.11404, MR 0104324; reference:[5] Kullback S.: Information Theory and Statistics.Wiley, New York 1959. Zbl 0088.10406, MR 0103557; reference:[6] Линник Ю. В.: Метод наименьших квадратов и основы математикостатистической теории обработки наблюдений.Москва 1962. Zbl 1226.30001; reference:[7] Parzen E.: Regression Analysis of Continuous Parameter Time Series.Fourth Berkeley Symp. on Math. Statist, 1961, 469-490. Zbl 0107.13802, MR 0146931; reference:[8] Pázman A., Serejová D.: Sekvenčné navrhovanie optimálnych experimentov.Report, Bratislava 1972.; reference:[9] Pázman A.: Sequential Designs for Estimating s out of k Parameters.Acta metronomica 8 (1972), 4, Inst. for Measurement Theory, Bratislava. Also: A Convergence Theorem in the Theory of D-optimum Designs. Ann. of Statist. 2 (1974), 1, 216-218.; reference:[10] Stone M.: Application of a Measure of Information to the Design and Comparison of Regression Experiments.Ann. Math. Statist. 30 (1959), 55-70. Zbl 0094.13602, MR 0106528; reference:[11] Wynn H. P.: Results in the Theory and Construction of D-optimum Experimental Designs.J. Roy. Stat. Soc. B 34 (1972), 133-147. Zbl 0248.62033, MR 0350987

الاتاحة: http://hdl.handle.net/10338.dmlcz/124877