Publication details

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



Year of publication 2011
Type Article in Periodical
Magazine / Source Acta Polytechnica
MU Faculty or unit

Faculty of Science

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