On the mutually non isomorphic $l_{p}(l_{q})$

• Autorzy: Pilar Cembranos , Jose Mendoza
• Języki publikacji: EN

Abstrakty

EN

In this note we survey the partial results needed to show the following general theorem: ${l_{p}(l_{q}) : 1 ≤ p,q ≤ +∞}$ is a family of mutually non isomorphic Banach spaces. We also comment some related facts and open problems.

Słowa kluczowe

EN

Banach spaces; isomorphic spaces; complemented subspace

Kategorie tematyczne

• 46B45: Banach sequence spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2016
• Tom: 36
• Numer: 1
• Strony: 117-127

Daty

wydano

2016

otrzymano

2016-03-29

poprawiono

2016-04-13

Twórcy

autor

Pilar Cembranos

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

autor

Jose Mendoza

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

Bibliografia

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• [6] P. Cembranos and J. Mendoza, The Banach spaces $l_{∞}(c₀)$ and $c₀(l_{∞})$ are not isomorphic, J. Math. Anal. Appl. 367 (2010), 361-363. doi: 10.1016/j.jmaa.2010.01.057
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Identyfikatory

DOI

10.7151/dmdico.1176