Extensions of Effect Algebra Operations

Authors

  • Z. Riečanová
  • M. Zajac

DOI:

https://doi.org/10.14311/1410

Keywords:

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

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.

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Author Biographies

  • Z. Riečanová
  • M. Zajac

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Published

2011-01-04

Issue

Vol. 51 No. 4 (2011)

Section

Articles

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How to Cite

Riečanová, Z., & Zajac, M. (2011). Extensions of Effect Algebra Operations. Acta Polytechnica, 51(4). https://doi.org/10.14311/1410