The measure of noncompactness of linear operators between spaces of strongly C1 summable and bounded sequences

被引：7

作者：

Malkowsky, E ^{[1
]}

Rakocevic, V ^{[1
]}

机构：

[1] Univ Nish, Fac Philosophy, Dept Math, YU-18000 Nish, Yugoslavia

来源：

ACTA MATHEMATICA HUNGARICA | 2000年 / 89卷 / 1-2期

关键词：

Linear Operator; Sequence Space; Bounded Sequence; Hausdorff Measure; Infinite Matrice;

D O I：

10.1023/A:1026721323997

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give necessary and sufficient conditions for infinite matrices to map a sequence space X into a sequence space Y where X=l(1) and Y = w(infinity)(p),w(p),w(0)(p) (1 less than or equal to p <infinity), or X = w(0), w,w(infinity), and Y=l(p) (1 less than or equal to p less than or equal to infinity), or X = w(0),w,w(infinity) and Y = w(0)(p), w(p), w(infinity)(p) (1 less than or equal to p <infinity). Furthermore the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for a linear operator between these spaces to be compact.

引用

页码：29 / 45

页数：17

共 45 条

[1] The Measure of Noncompactness of Linear Operators between Spaces of Strongly C1 Summable and Bounded Sequences
E. Malkowsky
V. Rakočević
[J]. Acta Mathematica Hungarica, 2000, 89 : 29 - 45
[2] On the measure of noncompactness of linear operators in spaces of strongly α-summable and bounded sequences
Bruno de Malafosse
Eberhard Malkowsky
[J]. Periodica Mathematica Hungarica, 2007, 55 : 129 - 148
[3] ON THE MEASURE OF NONCOMPACTNESS OF LINEAR OPERATORS IN SPACES OF STRONGLY α-SUMMABLE AND BOUNDED SEQUENCES
De Malafosse, Bruno
Malkowsky, Eberhard
[J]. PERIODICA MATHEMATICA HUNGARICA, 2007, 55 (02) : 129 - 148
[4] The Hausdorff measure of noncompactness of operators on the matrix domains of triangles in the spaces of strongly C1 summable and bounded sequences
Djolovic, Ivana
Malkowsky, Eberhard
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (04) : 1122 - 1130
[5] Measure of Noncompactness of Linear Operators between Spaces of Sequences That Are (N,q) Summable or Bounded
E. Malkowsky
V. Rakocevic
[J]. Czechoslovak Mathematical Journal, 2001, 51 : 505 - 522
[6] Compact operators into the spaces of strongly C1 summable and bounded sequences
Malkowsky, Eberhard
Djolovic, Ivana
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (11) : 3736 - 3750
[7] Measure of noncompactness of linear operators between spaces of sequences that are ((N)over-bar, q) summable or bounded
Malkowsky, E
Rakocevic, V
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2001, 51 (03) : 505 - 522
[8] The characterization of compact operators on spaces of strongly summable and bounded sequences
Basar, Feyzi
Malkowsky, Eberhard
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5199 - 5207
[9] The measure of noncompactness of linear operators between spaces of Mth-order difference sequences
Malkowsky, E
Rakocevic, V
[J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 1999, 35 (3-4) : 381 - 395
[10] Matrix transformations on the matrix domains of triangles in the spaces of strongly C1-summable and bounded sequences
Basar, Feyzi
Malkowsky, Eberhard
Altay, Bilal
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2008, 73 (1-2): : 193 - 213

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