A NOTE ON L2-SUMMAND VECTORS IN DUAL SPACES
Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 429-432

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DOI

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.
DOI : 10.1017/S0017089508004308
Mots-clés : Primary 46B20, 46C05, 46B04
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
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