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Gutman A.E.
Banach bundles in the theory of lattice-normed spaces. IV. Disjointness preserving operators //
Siberian Adv. Math. 1996. V. 6, N 2. P. 35–102.

In the present article, we study disjointness preserving operators that act in K-spaces and lattice-normed spaces. In particular, we find their analytic representations and decompositions into simpler components. We study orthomorphisms, shift operators, weighted shift operators, and arbitrary disjointness preserving operators.

Keywords:vector lattice, lattice-normed space, continuous Banach bundle, continuous section, orthomorphism, shift operator, weighted shift operator, disjointness preserving operator, analytic representation.
Type Article
Authors Gutman Alexander Efimovich
Title Banach bundles in the theory of lattice-normed spaces. IV. Disjointness preserving operators
Journal Siberian Advances in Mathematics
Year 1996
Volume 6
Number 2
Pages 35–102
Language English
© 1994.11.01
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Project  Order analysis 
Development of the theory of lattice-normed spaces and dominated operators
 
 
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July 19, 2018