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.,...
Properties of Hadamard directional derivatives: Denjoy-Young-Saks theorem for functions on Banach spacesProperties of Hadamard directional derivatives: Denjoy-Young-Saks theorem for functions on Banach spacesMathematics - Functional AnalysisPrimary: 46G05Secondary...
© 2013 Elsevier Inc. All rights reserved.Keywords: Banach–Saks property; Convex hull; Schreier spaces; Ramsey property1. IntroductionAclassicaltheoremof S.Mazurasserts thattheconvexhullofacompactsetinaBanachspaceis again relatively compact. In a similar way, Krein–Šmulian’s Theorem says that ...
For finite-dimensional Banach spaces, Kreiss' Matrix Theorem asserts that Kreiss boundedness is equivalent to T being power bounded. Thus, in the infinite-... MR Alfonso,SÁ Juan,Z Jaroslav - 《Proceedings of the London Mathematical Society》 ...
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...
Here is the vector-valued version of theorem 1.3: 1.4 Theorem. If E is a reflexive Banach space and (f n ) 1 n=1 a bounded sequence in L 1(\Omega ; F ; P; E), we may find convex combinations gn 2 c...W. Schachermayer, “The Banach-Saks property is not L 2 -hereditary,...
Finally we show that Kakutani's theorem is a particular case of(B).Chen DaoqiJournal of Zhejiang University
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...
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...
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....