A NOTE ON L2-SUMMAND VECTORS IN DUAL SPACES
Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 429-432
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It is shown that every L2-summand vector of a dual real Banach space is a norm-attaining functional. As consequences, the L2-summand vectors of a dual real Banach space can be determined by the L2-summand vectors of its predual; for every n ∈ , every real Banach space can be equivalently renormed so that the set of norm-attaining functionals is n-lineable; and it is easy to find equivalent norms on non-reflexive dual real Banach spaces that are not dual norms.
AIZPURU, ANTONIO; GARCÍA-PACHECO, FRANCISCO J. A NOTE ON L2-SUMMAND VECTORS IN DUAL SPACES. Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 429-432. doi: 10.1017/S0017089508004308
@article{10_1017_S0017089508004308,
author = {AIZPURU, ANTONIO and GARC\'IA-PACHECO, FRANCISCO J},
title = {A {NOTE} {ON} {L2-SUMMAND} {VECTORS} {IN} {DUAL} {SPACES}},
journal = {Glasgow mathematical journal},
pages = {429--432},
year = {2008},
volume = {50},
number = {3},
doi = {10.1017/S0017089508004308},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004308/}
}
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