Characterizations of kadec-klee properties in symmetric spaces of measurable functions

V. I. Chilin; P. G. Dodds; A. A. Sedaev; F. A. Sukochev

doi:10.1090/s0002-9947-96-01782-5

Characterizations of kadec-klee properties in symmetric spaces of measurable functions

V. I. Chilin, P. G. Dodds, A. A. Sedaev, F. A. Sukochev

College of Science and Engineering

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

Abstract

We present several characterizations of Kadec-Klee properties in symmetric function spaces on the half-line, based on the K-functional of J. Peetre. In addition to the usual Kadec-Klee property, we study those symmetric spaces for which sequential convergence in measure (respectively, local convergence in measure) on the unit sphere coincides with norm convergence.

Original language	English
Pages (from-to)	4895-4918
Number of pages	24
Journal	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume	348
Issue number	12
DOIs	https://doi.org/10.1090/s0002-9947-96-01782-5
Publication status	Published - Dec 1996

Keywords

Kadec-klee properties
Lorentz spaces
Symmetric spaces

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Characterizations of kadec-klee properties in symmetric spaces of measurable functions

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Keywords

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