Sobczyk's theorems from A to B.
作者： David Yost , Félix Cabello Sánchez , Jesús María Fernández Castillo
DOI:
关键词:
摘要: Sobczyk's theorem is usually stated as: every copy of c0 inside a separable Banach space complemented by projection with norm at most 2. Nevertheless, our understanding not complete until we also recall: and in l8. Now the limits phenomenon are set: although superspaces, it necessarily non-separable superspace, such as
unirioja.es参考文章(47)
Lior Tzafriri, Joram Lindenstrauss, L. Tzafriri, J. Lindenstrauss, Classical Banach Spaces I: Sequence Spaces ,(1977)
W. Sierpiński, Sur une décomposition d'ensembles Monatshefte für Mathematik. ,vol. 35, pp. 239- 242 ,(1928) , 10.1007/BF01707443
David Yost, Anatolij M. Plichko, Complemented and Uncomplemented Subspaces of Banach Spaces Extracta mathematicae. ,vol. 15, pp. 335- 372 ,(2000)
Manuel González, Jesús M. F. Castillo, Three-space Problems in Banach Space Theory ,(1997)
Stanisław Hartman, Edward Marczewski, COLLECTED MATHEMATICAL PAPERS Polish Academy of Sciences, Institute of Mathematics. ,(1996)
A. Pełczyński, V. Sudakov, Remark on non-complemented subspaces of the space m(S) Colloquium Mathematicum. ,vol. 9, pp. 85- 88 ,(1962) , 10.4064/CM-9-1-85-88
Haskell Rosenthal, On relatively disjoint families of measures, with some applications to Banach space theory Studia Mathematica. ,vol. 37, pp. 13- 36 ,(1970) , 10.4064/SM-37-1-13-36
Lior Tzafriri, Joram Lindenstrauss, Classical Banach spaces ,(1973)
J. Bourgain, has no equivalent strictly convex norm Proceedings of the American Mathematical Society. ,vol. 78, pp. 225- 226 ,(1980) , 10.1090/S0002-9939-1980-0550499-2
h.c. Gottfried Köthe, Topological Vector Spaces II ,(1979)