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Homomorphisms for distributive operations in partial algebras. Applications to linear operators and measure theory

Homomorphisms for distributive operations in partial algebras. Applications to linear operators... In this paper the concept of distributivity introduced earlier [1] is used to show that a homomorphism with respect to two distributive operations which is extended as a homomorphism with respect to operation 1 remains necessarily also a homomorphism with respect to operation 2 on the 1-closure of the original domain of definition. The result is illustrated by applications to continuous extensions of homomorphisms between δ-complete vector lattices, association of families of stochastically independent systems of sets and integration of products of independent functions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

Homomorphisms for distributive operations in partial algebras. Applications to linear operators and measure theory

Mathematische Zeitschrift , Volume 99 (3) – Jan 22, 2005

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References (4)

Publisher
Springer Journals
Copyright
Copyright © 1967 by Springer-Verlag
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/BF01112456
Publisher site
See Article on Publisher Site

Abstract

In this paper the concept of distributivity introduced earlier [1] is used to show that a homomorphism with respect to two distributive operations which is extended as a homomorphism with respect to operation 1 remains necessarily also a homomorphism with respect to operation 2 on the 1-closure of the original domain of definition. The result is illustrated by applications to continuous extensions of homomorphisms between δ-complete vector lattices, association of families of stochastically independent systems of sets and integration of products of independent functions.

Journal

Mathematische ZeitschriftSpringer Journals

Published: Jan 22, 2005

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