Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces
Joint Authors
Alotaibi, Abdullah
Malkowsky, E.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We study the spaces w0p, wp, and w∞p of sequences that are strongly summable to 0, summable, and bounded with index p≥1 by the Cesàro method of order 1 and establish the representations of the general bounded linear operators from the spaces wp into the spaces w∞1, w1, and w01.
We also give estimates for the operator norm and the Hausdorff measure of noncompactness of such operators.
Finally we apply our results to characterize the classes of compact bounded linear operators from w0p and wp into w01 and w1.
American Psychological Association (APA)
Malkowsky, E.& Alotaibi, Abdullah. 2014. Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1040619
Modern Language Association (MLA)
Malkowsky, E.& Alotaibi, Abdullah. Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces. Journal of Function Spaces No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1040619
American Medical Association (AMA)
Malkowsky, E.& Alotaibi, Abdullah. Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1040619
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040619