On sequences not enjoying Schur’s property-Reference-Cited by-同舟云学术

On sequences not enjoying Schur’s property

Published:2017-04-13 Issue:1 Volume:15 Page:233-237
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Jiménez-Rodríguez Pablo¹

Affiliation:

1. Department of Mathematical Sciences, Kent State University, Mathematics and Computer Science Building 233, Summit Street, Kent OH 44242, Ohio, USA

Abstract

Abstract Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some subsets of functions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2017-0024/pdf

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