Extension of vector-lattice homomorphisms

Lipecki, Z.

doi:10.1090/S0002-9939-1980-0565348-6

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Extension of vector-lattice homomorphisms
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by Z. Lipecki PDF

Proc. Amer. Math. Soc. 79 (1980), 247-248 Request permission

Abstract:

Extensions of a positive linear operator on a vector lattice satisfying a certain approximation condition are considered. When the operator is a vector-lattice homomorphism, these extensions are also vector-lattice homomorphisms.

References

Z. Lipecki, D. Plachky, and W. Thomsen, Extensions of positive operators and extreme points. I, Colloq. Math. 42 (1979), 279–284. MR 567564, DOI 10.4064/cm-42-1-279-284
Z. Lipecki, Extensions of positive operators and extreme points. II, Colloq. Math. 42 (1979), 285–289. MR 567565, DOI 10.4064/cm-42-1-285-289