Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem

KAMA R., ALTAY B.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.42, sa.12, ss.1410-1422, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 12
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/01630563.2021.1961803
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1410-1422
  • Anahtar Kelimeler: Statistical convergence, Orlicz-Pettis Theorem, weakly unconditionally Cauchy series, completeness, CONVERGENT SEQUENCES, MATRIX SUMMABILITY, NORMED SPACES, COMPLETENESS, DENSITY, SERIES, MODULI
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, we introduce some new multiplier spaces related to a series Sigma(i)x(i) in a normed space X through f-statistical summability and give some characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in X and X*, respectively. We also obtain a new version of the Orlicz-Pettis theorem within the frame of the f-statistical convergence.