Summability in topological spaces


Ĉakalli H., Khan M.

Applied Mathematics Letters, cilt.24, sa.3, ss.348-352, 2011 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.aml.2010.10.021
  • Dergi Adı: Applied Mathematics Letters
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.348-352
  • Anahtar Kelimeler: Sequences, Series, Summability, Tauberian theorems, Topological spaces
  • Maltepe Üniversitesi Adresli: Evet

Özet

The main purpose of the paper is to introduce the notion of summability in abstract Hausdorff topological spaces. We give a characterization of such summability methods when the space allows a countable base. We also provide several Tauberian theorems in topological structures. Some open problems are discussed. © 2010 Elsevier Ltd. All rights reserved.