Journal article

Publication year: 2008

Pages: 291-303

Journal: Journal of Mathematical Analysis and Applications

Volume number: 340

Issue number: 1

ISSN: 0022-247X

eISSN: 1096-0813

Open access status: Bronze

DOI Link: https://doi.org/10.1016/j.jmaa.2007.08.021

Publisher: Elsevier

Abstract: 
We establish some identities or estimates for the operator norms and Hausdorff measures of noncompactness of linear operators given by infinite matrices that map the matrix domains of triangles in arbitrary BK spaces with AK, or in the spaces of all convergent or bounded sequences, into the spaces of all null, convergent or bounded sequences, or of all absolutely convergent series. Furthermore, we apply these results to the characterizations of compact operators on the matrix domains of triangles in the classical sequence spaces, and on the sequence spaces studied in [I. Djolovic, Compact operators on the spaces a(0)(r)(Delta) and a(c)(r)(Delta), J. Math. Anal. Appl. 318 (2) (2006) 658 - 666; 1. Djolovic, On the space of bounded Euler difference sequences and some classes of compact operators, Appl. Math. Comput. 182 (2) (2006) 1803 - 1811]. (c) 2007 Elsevier Inc. All rights reserved.

Harvard Citation style: Djolovic, I. and Malkowsky, E. (2008) A note on compact operators on matrix domains, Journal of Mathematical Analysis and Applications, 340(1), pp. 291-303. https://doi.org/10.1016/j.jmaa.2007.08.021

APA Citation style: Djolovic, I., & Malkowsky, E. (2008). A note on compact operators on matrix domains. Journal of Mathematical Analysis and Applications. 340(1), 291-303. https://doi.org/10.1016/j.jmaa.2007.08.021