Extensions of Effect Algebra Operations

Z. Riečanová, M. Zajac

Abstract


We study the set of all positive linear operators densely defined in an infinite-dimensional complex Hilbert space. We equip this set with various effect algebraic operations making it a generalized effect algebra. Further, sub-generalized effect algebras and interval effect algebras with respect of these operations are investigated.

Keywords


generalized effect algebra; effect algebra; Hilbert space; densely defined linear operators; extension of operations

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague