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RESEARCH PRODUCT

Almost square dual Banach spaces

Petr HájekStanimir TroyanskiStanimir TroyanskiTrond A. Abrahamsen

subject

Mathematics::Functional AnalysisPure mathematicsApplied Mathematics010102 general mathematicsBanach space01 natural sciencesSeparable space010101 applied mathematicsNorm (mathematics)Dual polyhedron0101 mathematicsAnalysisDual normMathematics

description

Abstract We show that finite dimensional Banach spaces fail to be uniformly non locally almost square. Moreover, we construct an equivalent almost square bidual norm on l ∞ . As a consequence we get that every dual Banach space containing c 0 has an equivalent almost square dual norm. Finally we characterize separable real almost square spaces in terms of their position in their fourth duals.

yearjournalcountryeditionlanguage
2020-07-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2020.124003