On sequences not enjoying Schur’s property

• Autorzy: Pablo Jiménez-Rodríguez
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Schur property; Weakly convergent sequence; Analytic function

Kategorie tematyczne

• 40A05: Convergence and divergence of series and sequences
• 15A03: Vector spaces, linear dependence, rank
• 20G43: Schur and q -Schur algebras

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 233-237

Daty

wydano

2017-01-01

otrzymano

2016-10-12

zaakceptowano

2017-01-03

online

2017-04-13

Twórcy

autor

Pablo Jiménez-Rodríguez

• Department of Mathematical Sciences, Kent State University, Mathematics and Computer Science Building 233, Summit Street, Kent OH 44242,

Identyfikatory

DOI

10.1515/math-2017-0024