The Hausdorff measure of noncompactness of operators on the matrix domains of triangles in the spaces of strongly C1 summable and bounded sequences

被引：7

作者：

Djolovic, Ivana ^{[1
]}

Malkowsky, Eberhard ^{[2
,3
]}

机构：

[1] Univ Belgrade, Tech Fac, Bor 19210, Serbia

[2] Univ Giessen, Dept Math, D-35392 Giessen, Germany

[3] Fac Informat Technol, Belgrade 11000, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 04期

关键词：

Strongly bounded and summable sequences; Matrix transformations; Compact operators; Cesaro method; TRANSFORMATIONS;

D O I：

10.1016/j.amc.2010.02.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [2,3,7], the authors studied spaces of strongly C-1 summable and bounded sequences and matrix domains of triangles in them. Here we will extend their results by characterizing compact matrix operators from those spaces into the spaces of null and convergent sequences, and by giving sufficient conditions for the compactness of the operators when the final space is the space of bounded sequences. This is achieved by determining or estimating the Hausdorff measure of noncompactness of such matrix operators. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1122 / 1130

页数：9

共 18 条

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E. Malkowsky
V. Rakočević
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Malkowsky, E
Rakocevic, V
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Eberhard Malkowsky
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De Malafosse, Bruno
Malkowsky, Eberhard
[J]. PERIODICA MATHEMATICA HUNGARICA, 2007, 55 (02) : 129 - 148
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Basar, Feyzi
Malkowsky, Eberhard
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E. Malkowsky
V. Rakocevic
[J]. Czechoslovak Mathematical Journal, 2001, 51 : 505 - 522
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Basar, Feyzi
Malkowsky, Eberhard
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5199 - 5207
[9] THE HAUSDORFF MEASURE OF NONCOMPACTNESS OF MATRIX OPERATORS ON SOME BK SPACES
Mursaleen, M.
Noman, Abdullah K.
[J]. OPERATORS AND MATRICES, 2011, 5 (03): : 473 - 486
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