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Almost convergence and double sequential band matrix

Authors
  • CANDAN, Murat1
  • 1 Inoun University
Type
Published Article
Journal
Acta Mathematica Scientia
Publication Date
Jan 01, 2014
Volume
34
Issue
2
Pages
354–366
Identifiers
DOI: 10.1016/S0252-9602(14)60010-2
Source
Elsevier
Keywords
License
Unknown

Abstract

The class f of almost convergent sequences was introduced by G.G. Lorentz, using the idea of the Banach limits [A contribution to the theory of divergent sequences, Acta Math. 80(1948), 167–190]. Let f0() and f() be the domain of the double sequential band matrix () in the sequence spaces f0 and f. In this article, the β. and γ-duals of the space f() are determined. Additionally, we give some inclusion theorems concerning with the spaces f0() and f(). Moreover, the classes (f() : μ) and (μ : f()) of infinite matrices are characterized, and the characterizations of some other classes are also given as an application of those main results, where μ is an arbitrary sequence space.

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