Approximation theory in 2-Banach spaces

In order to study the approximation theory in 2-Banach spaces, we define the concept of T -convergence by means of a sequence of linear operators in 2-Banach spaces, and we get some results by imposing the stability and approximation conditions on linear operators. Further, we consider some applicat...

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Bibliographic Details
Published inNonlinear analysis Vol. 71; no. 5; pp. 1654 - 1661
Main Authors Guerdal, Mehmet, Sahiner, Ahmet, Acik, Isil
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 01.09.2009
Elsevier
Subjects
2-Banach space
[formula omitted]-convergence
Approximation
Cauchy sequence
Convergence
Exact sciences and technology
Functional analysis
Mathematical analysis
Mathematics
Sciences and techniques of general use
secondary
2-Banach space
Approximation
T -convergence
Cauchy sequence
primary
Convergence
Nonlinear analysis
Banach space
46A70
T-convergence
secondary 41A36
41A65
primary 40A05
Approximation theory
Mathematical model
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ISSN0362-546X
1873-5215
DOI10.1016/j.na.2009.01.030

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Summary:In order to study the approximation theory in 2-Banach spaces, we define the concept of T -convergence by means of a sequence of linear operators in 2-Banach spaces, and we get some results by imposing the stability and approximation conditions on linear operators. Further, we consider some applications related to the subject.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.01.030