We introduce the new concepts of almost overcomplete sequence in a Banach space and almost overtotal sequence in a dual space. We prove that any of such sequences is relatively norm-compact and we present several applications of this fact.
Almost overcomplete and almost overtotal sequences in Banach spaces / V.P. Fonf, C. Zanco. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 420:1(2014 Dec 01), pp. 94-101. [10.1016/j.jmaa.2014.05.045]
Almost overcomplete and almost overtotal sequences in Banach spaces
C. Zanco
2014
Abstract
We introduce the new concepts of almost overcomplete sequence in a Banach space and almost overtotal sequence in a dual space. We prove that any of such sequences is relatively norm-compact and we present several applications of this fact.
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