On Normability of a Space of Measurable Real Functions

UNCP Author/Contributor (non-UNCP co-authors, if there are any, appear on document)
Dr. Laszlo Zsilinszky, Professor (Creator)
The University of North Carolina at Pembroke (UNCP )
Web Site: http://www.uncp.edu/academics/library

Abstract: Let (X,S,µ) be a s-?nite measure space. Denote by M the class of all S-measurable functions that are ?nite almost everywhere on X. Gribanov in [G] considers the topology of convergence in measure on sets of ?nite measure on M. This topological space is normable if and only if X is a union of ?nite many atoms of ?nite measure.

Additional Information

Acta Mathematica et Informatica Universitatis Ostraviensis Vol. 2
Language: English
Date: 1995
Normability, topology, s-?nite measure space, measurable real functions.

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