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arxiv: 1402.6247 · v1 · pith:FJRO47XZnew · submitted 2014-02-25 · 🧮 math.FA

Almost overcomplete and almost overtotal sequences in Banach spaces

classification 🧮 math.FA
keywords almostbanachovercompleteovertotalsequencesequencesspaceapplications
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The new concepts are introduced 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 obtain several applications of this fact.

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