The characterization of compact operators on spaces of strongly summable and bounded sequences

作者：Basar Feyzi^*; Malkowsky Eberhard

来源：Applied Mathematics and Computation, 2011, 217(12): 5199-5207.

DOI：10.1016/j.amc.2010.12.007

• Spaces of strongly bounded and summable sequences
• Matrix transformations
• Compact operators
• Hausdorff measure of noncompactness

We use the characterizations of the classes of all infinite matrices that map the spaces of sequences which are strongly summable or bounded by the Cesaro method of order 1 into the spaces of null or convergent sequences given by Basar, Malkowsky and Altay [Matrix transformations on the matrix domains of triangles in the spaces of strongly C1-summable and bounded sequences, Publ. Math. Debrecen 73 (1-2) (2008), 193-213] and the Hausdorff measure of noncompactness to characterize the classes of all compact operators between those spaces. Published by Elsevier Inc.

• 出版日期2011-2-15