A characterization of norm compactness in the Bochner space Lp (G ; B) for an arbitrary locally compact group G

Document Type

Article

Publication Date

11-15-2006

Abstract

In this paper, we generalize a result of N. Dinculeanu which characterizes norm compactness in the Bochner space Lp (G ; B) in terms of an approximate identity and translation operators, where G is a locally compact abelian group and B is a Banach space. Our characterization includes the case where G is nonabelian, and we weaken the hypotheses on the approximate identity used, providing new results even for the case B = C and G = Rn. © 2005 Elsevier Inc. All rights reserved.

Identifier

33750608677 (Scopus)

Publication Title

Journal of Mathematical Analysis and Applications

External Full Text Location

https://doi.org/10.1016/j.jmaa.2005.11.018

e-ISSN

10960813

ISSN

0022247X

First Page

1007

Last Page

1017

Issue

2

Volume

323

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