Journal article

Publication year: 2014

Journal: Journal of Function Spaces

Volume number: 2014

ISSN: 2314-8896

eISSN: 2314-8888

Open access status: Gold

DOI Link: https://doi.org/10.1155/2014/196489

Publisher: Wiley

Abstract: 
We study the spaces w(0)(p), w(p), and w(omega)(p) of sequences that are strongly summable to 0, summable, and bounded with index p > 1 by the Cesaro method of order 1 and establish the representations of the general bounded linear operators from the spaces w(p) into the spaces w(omega)(1), w(1), and w(0)(1). 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 w(0)(p) and w(p) into w(0)(1) and w(1).

Harvard Citation style: Malkowsky, E. and Alotaibi, A. (2014) Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces, Journal of Function Spaces, 2014, Article 196489. https://doi.org/10.1155/2014/196489

APA Citation style: Malkowsky, E., & Alotaibi, A. (2014). Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces. Journal of Function Spaces. 2014, Article 196489. https://doi.org/10.1155/2014/196489