On duality between K- and J-spaces-Reference-Cited by-同舟云学术

On duality between K- and J-spaces

Published:1999-02 Issue:1 Volume:42 Page:43-63
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Cobos Fernando,Fernández-Martínez Pedro,Martínez Antón,Raynaud Yves

Abstract

We study the relationship between the dual of the K-space defined by means of a polygon and the J-space generated by the dual N-tuple. The results complete the research started in [4]. Special attention is paid to the case when the N-tuple is formed by Banach lattices

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

1. Banach Lattices

2. Some properties of the sum and intersection of normed spaces;Dore;Atti Sem. Mat. Fis. Univ. Modena,1982

3. Real and complex interpolation methods for finite and infinite families of Banach spaces

4. Norm Estimates for Interpolation Methods Defined by Means of Polygons

5. Interpolation of Compact Operators: The Multidimensional Case

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