On measures of non-compactness in regular spaces
type: Item
instance of: scholarly article
title: On measures of non-compactness in regular spaces
zbMATH Open document ID: 0849.47031
DOI: 10.4171/ZAA/701
author: Yanyan Li
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1996-11-14T00:00:00Z
review text: The author extends previous results on measures of non-compactness [e.g., Integral Equ. Oper. Theory 19, No. 3, 349-359 (1994; Zbl 0810.46032)] to regular spaces of measurable functions, and new criteria for the \(\mu\)-compactness of sets and operators are proved. An application of the abstract results to elliptic boundary problems is given as well.
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 47B07
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 888998
zbMATH Keywords: measures of non-equiboundedness
zbMATH Keywords: Lebesgue spaces
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: embedding operators
zbMATH Keywords: elliptic boundary value problems
zbMATH Keywords: measures of non-compactness
zbMATH Keywords: regular spaces of measurable functions
zbMATH Keywords: \(\mu\)-compactness of sets and operators
reviewed by: Jürgen Appell
MaRDI profile type: Publication
cites work: Q4744784
cites work: Q4040886
cites work: Q5614166
description: scientific article; zbMATH DE number 888998