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Proceedings of the American Mathematical Society

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Extension of vector-lattice homomorphisms


Author: Z. Lipecki
Journal: Proc. Amer. Math. Soc. 79 (1980), 247-248
MSC: Primary 46A40; Secondary 47B55
DOI: https://doi.org/10.1090/S0002-9939-1980-0565348-6
MathSciNet review: 565348
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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 [Enhancements On Off] (What's this?)

  • [1] Z. Lipecki, D. Plachky and W. Thomsen, Extensions of positive operators and extreme points. I, Colloq. Math. 42 (to appear). MR 567564 (82k:47055)
  • [2] Z. Lipecki, Extensions of positive operators and extreme points. II, Colloq. Math. 42 (to appear). MR 567565 (82k:47056)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0565348-6
Keywords: Vector lattice, positive operator, vector-lattice homomorphism
Article copyright: © Copyright 1980 American Mathematical Society

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