ULTRAPOWERS AND SUBSPACES OF THE DUAL OF A BANACH SPACE
Glasgow mathematical journal, Tome 45 (2003) no. 3, pp. 493-501
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For a Banach space $X$ we consider three ways in which a subspace of $X^*$ can represent locally the whole dual space $X^*$. We obtain characterizations in terms of ultrapowers and we study the relationship between the subspaces of $X^*$ and the subspaces of the dual of an ultrapower of $X$.
GONZÁLEZ, MANUEL; MARTÍNEZ-ABEJÓN, ANTONIO. ULTRAPOWERS AND SUBSPACES OF THE DUAL OF A BANACH SPACE. Glasgow mathematical journal, Tome 45 (2003) no. 3, pp. 493-501. doi: 10.1017/S001708950300140X
@article{10_1017_S001708950300140X,
author = {GONZ\'ALEZ, MANUEL and MART\'INEZ-ABEJ\'ON, ANTONIO},
title = {ULTRAPOWERS {AND} {SUBSPACES} {OF} {THE} {DUAL} {OF} {A} {BANACH} {SPACE}},
journal = {Glasgow mathematical journal},
pages = {493--501},
year = {2003},
volume = {45},
number = {3},
doi = {10.1017/S001708950300140X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950300140X/}
}
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%0 Journal Article %A GONZÁLEZ, MANUEL %A MARTÍNEZ-ABEJÓN, ANTONIO %T ULTRAPOWERS AND SUBSPACES OF THE DUAL OF A BANACH SPACE %J Glasgow mathematical journal %D 2003 %P 493-501 %V 45 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S001708950300140X/ %R 10.1017/S001708950300140X %F 10_1017_S001708950300140X
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