The Banach spaces <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>ℓ</mml:mi><mml:mo>∞</mml:mo></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>c</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>ℓ</mml:mi><mml:mo>∞</mml:mo></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math> are not isomorphic-Reference-Cited by-同舟云学术

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The Banach spaces ℓ∞(c0) and c0(ℓ∞) are not isomorphic

Published:2010-07 Issue:2 Volume:367 Page:461-463
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Cembranos Pilar,Mendoza José

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference6 articles.

1. Topics in Banach Space Theory;Albiac,2006

2. Some remarks on conjugate spaces containing subspaces isomorphic to the space c0;Bessaga;Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys.,1958

3. P. Cembranos, J. Mendoza, On the mutually non-isomorphic ℓp(ℓq) spaces, in press

4. Sequences and Series in Banach Spaces;Diestel,1984

5. Classical Banach Spaces I;Lindenstrauss,1977

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3. Isomorphic classification of mixed sequence spaces and of Besov spaces over [0, 1]d;Mathematische Nachrichten;2016-10-12

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5. Extendibility of bilinear forms on banach sequence spaces;Israel Journal of Mathematics;2014-02-07

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