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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.