More on PT-Symmetry in (Generalized) Effect Algebras and Partial Groups

J. Paseka, J. Janda

Abstract


We continue in the direction of our paper on PT-Symmetry in (Generalized) Effect Algebras and Partial Groups. Namely we extend our considerations to the setting of weakly ordered partial groups. In this setting, any operator weakly ordered partial group is a pasting of its partially ordered commutative subgroups of linear operators with a fixed dense domain over bounded operators. Moreover, applications of our approach for generalized effect algebras are mentioned.

Keywords


(generalized) effect algebra; partially ordered commutative group; weakly ordered partial group; Hilbert space; (unbounded) linear operators; PT-symmetry; Pseudo-Hermitian Quantum Mechanics

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