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

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PASEKA Jan JANDA Jiří

Rok publikování 2011
Druh Článek v odborném periodiku
Časopis / Zdroj Acta Polytechnica
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www http://ctn.cvut.cz/ap/download.php?id=617
Obor Obecná matematika
Klíčová slova (generalized) effect algebra; partially ordered commutative group; weakly ordered partial group; Hilbert space; (unbounded) linear operators; PT -symmetry; Pseudo-Hermitian Quantum Mechanics
Popis 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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