Journalartikel

Jahr der Veröffentlichung: 2014

Zeitschrift: Journal of Function Spaces

Bandnummer: 2014

ISSN: 2314-8896

eISSN: 2314-8888

Open Access Status: Gold

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

Verlag: 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-Zitierstil: 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-Zitierstil: 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