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

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Authors	PASEKA Jan JANDA Jiří
Year of publication	2011
Type	Article in Periodical
Magazine / Source	Acta Polytechnica
MU Faculty or unit	Faculty of Science
Citation
Web	http://ctn.cvut.cz/ap/download.php?id=617
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.
Related projects:	Mathematical structures and their physical applications