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

Title:

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

Creator:

Malkowsky, Eberhard and Rakočević, V.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f8f5128e-c09b-4d5e-8a57-f1073897af39
uuid:f8f5128e-c09b-4d5e-8a57-f1073897af39

Subject:

BK spaces, bases, matrix transformations, and measure of noncompactness

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

505-522

Source:

Czechoslovak Mathematical Journal | 2001 Volume:51 | Number:3

Harvested from:

CDK

Metadata only:

false