On the Reflexivity of the Space π  p  ( E, F ) of  p ‐Absolutely Summing Operators, 1 ⩽  p  < + ∞ | Zendy

Aharoni Ron | Zendy; Saphar Pierre David | Zendy

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On the Reflexivity of the Space π p ( E, F ) of p ‐Absolutely Summing Operators, 1 ⩽ p < + ∞

Author(s) -

Aharoni Ron,

Saphar Pierre David

Publication year - 1993

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/blms/25.4.362

Subject(s) - mathematics , reflexivity , space (punctuation) , absolute continuity , dual space , representation (politics) , pure mathematics , combinatorics , dual (grammatical number) , philosophy , social science , linguistics , sociology , politics , political science , law

We give a representation of the dual of the space π p ( E,F ) of p ‐absolutely summing operators (1 ⩽ p < + ∞) under certain conditions on E and F . One deduces that the space π p ( E, F ), 1 ⩽ p < + ∞, is reflexive if and only if E and F are reflexive. We improve results of Gordon, Lewis, Retherford and Saphar.

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