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On a Question of Haskell P. Rosenthal Concerning a Characterization of c 0 and l p
Author(s) -
Ferenczi Valentin,
Pelczar Anna Maria,
Rosendal Christian
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609303003047
Subject(s) - mathematics , basis (linear algebra) , subsequence , property (philosophy) , sequence (biology) , characterization (materials science) , banach space , block (permutation group theory) , haskell , mathematics subject classification , space (punctuation) , combinatorics , pure mathematics , discrete mathematics , mathematical analysis , geometry , theoretical computer science , computer science , epistemology , functional programming , philosophy , materials science , biology , bounded function , genetics , nanotechnology , operating system
The following property of a normalized basis in a Banach space is considered: any normalized block sequence of the basis has a subsequence equivalent to the basis. Under uniformity or other natural assumptions, a basis with this property is equivalent to the unit vector basis of c 0 or l p . An analogous problem concerning spreading models is also addressed. 2000 Mathematics Subject Classification 46B20 (primary), 46B15 (secondary).