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1. Measure of noncompactness of linear operators between spaces of sequences that are $(\bar{N},q)$ summable or bounded

Creator:
Malkowsky, Eberhard and Rakočević, V.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
BK spaces, bases, matrix transformations, and measure of noncompactness
Language:
English
Description:
In this paper we investigate linear operators between arbitrary BK spaces $X$ and spaces $Y$ of sequences that are $(\bar{N},q)$ summable or bounded. We give necessary and sufficient conditions for infinite matrices $A$ to map $X$ into $Y$. Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for $A$ to be a compact operator.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public