Extensions of Effect Algebra Operations

Zdenka Riečanová, M. Zajac · Acta Polytechnica · 2011

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.

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