Some connections between the concepts of boundary and of norming set of a Banach space and the linear structure are investigated. In particular we prove that, if X is a Banach space which does not contain an isomorphic copy of c_0, B subset of S_X is a boundary of X and H is a maximal linearly independent subset of B, then H is norming.
An algebraic property of the boundaries of Banach spaces / V.P. Fonf, C. Zanco. - In: PURE AND APPLIED FUNCTIONAL ANALYSIS. - ISSN 2189-3756. - 2:1(2017), pp. 37-41.
An algebraic property of the boundaries of Banach spaces
C. ZancoUltimo
2017
Abstract
Some connections between the concepts of boundary and of norming set of a Banach space and the linear structure are investigated. In particular we prove that, if X is a Banach space which does not contain an isomorphic copy of c_0, B subset of S_X is a boundary of X and H is a maximal linearly independent subset of B, then H is norming.
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