On sequences not enjoying Schur’s property

Autor:	Pablo Jiménez-Rodríguez
Rok vydání:	2017
Předmět:	Theoretical computer science 40a05 General Mathematics 010102 general mathematics schur property weakly convergent sequence 15a03 01 natural sciences analytic function 010101 applied mathematics Algebra Schur's property QA1-939 20g43 0101 mathematics Mathematics Analytic function
Zdroj:	Open Mathematics, Vol 15, Iss 1, Pp 233-237 (2017)
ISSN:	2391-5455
DOI:	10.1515/math-2017-0024
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4225d83fb2e5ace77047e61a9a7dd6b https://doi.org/10.1515/math-2017-0024 Zobrazit plný text záznamu