S. D. Chatterji, “On a theorem of Banach and Saks,” Int. Ser. Numer. Math., 25 , 565–578 (1974).On a theorem of Banach and Saks. Linear operators and approximation, II. (Proc. Conf. Oberwolfach Math. Res. Inst., Oberwolfach, 1974), 565-578. Internat. Ser. Numer. Math.,...
(LpmgeneratedbymLp2spacesfor1Φp<+∞,wheremisanygivennaturalnumber.Whenm=1,thisisthefamousBanach2Saks2Szlenktheorem.Byuseofthisproperty,wealsopresentinequalitiesforintegralsoffunctionsthatarethecompositionofnonnegativecontinuousconvexfunctionsonaconvexsetofavectorspaceRmandvector2valuedfunctionsinaweaklycompact...
Errata: A Theorem on Convex Bodies and Applications to Banach Spaces TY - JOURAU - Matos, Mário C.TI - Errata to the article "On holomorphy in Banach spaces and absolute convergence of Fourier series" (Port. Math., 45(4) (1... A Dvoretzky - 《Proceedings of the National Academy of...
摘要: Radon–Nikodym theorem is established on fuzzy number measures in Banach spaces, Vitali–Hahn–Saks theorem is generalized to set valued measures and fuzzy number measures.关键词: Analysis Fuzzy number measure Set valued measure Radon-Nikodym theorem Vitali-Hahn-Saks theorem ...
Banach spacesWe show the weak Banach-Saks property of the Banach vector space (L(superscript p subscript μ))(superscript m) generated by m L(superscript p subscript μ)-spaces for 1≤p<+∞, where m is any given natural number. When m=1, this is the famous Banach-Saks-Szlenk theorem...
Due to an example indicated to us in September 2009 we have to add one more restriction to the suppositions on the imprimitivity bimodules treated in Proposition 4.1, Theorem 5.1, Theorem 6.2 and Proposition 6.3. In the situation when the Banach-Saks property holds for the imprimitivity bi...
Here is the vector-valued version of theorem 1.3: 1.4 Theorem. If E is a re°exive Banach space and (fn)n‚1 a bounded sequence in L1(›;F ;P;E), we may flnd convex combinations gn 2 conv(fn; fn+1; : ...W. Schachermayer, The Banach-Saks property is not L2- hereditary...
We also study the case of the unit ball and in this case we prove a dichotomy which is an analogue of the James distortion theorem for 1-spreading models.doi:10.1016/j.jfa.2014.12.003Bendová, HanaKalenda, Ond?ej F.K.Spurny, Ji?í...
numbers k(,n) (,n=1)('(INFIN)) such that.;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI).;Our first result is a disjointification procedure analogous to a famous lemma of Rosenthal.;This result in turn, allows us to generalize a theorem due to Kadec and Pelczynski.;Theorem....
Since k-β and k-NUC spaces have (BS), this shows that Theorem 14 isomorphically improves the result of Bo...Lin Bor-Luh;Lin Pei-Kee.A fully convex Banach spaces which does not have the Banach-Saks property.J Math Anal Appl.1986.273-283...