Characterizations of Spectral Automorphisms and a Stone-Type Theorem in Orthomodular Lattices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F11%3A00185050" target="_blank" >RIV/68407700:21230/11:00185050 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s10773-011-0738-6" target="_blank" >http://dx.doi.org/10.1007/s10773-011-0738-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10773-011-0738-6" target="_blank" >10.1007/s10773-011-0738-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Characterizations of Spectral Automorphisms and a Stone-Type Theorem in Orthomodular Lattices

Popis výsledku v původním jazyce

The notion of spectral automorphism of an orthomodular lattice was introduced by Ivanov and Caragheorgheopol (Int. J. Theor. Phys. 49(12):3146-3152, 2010) to create an analogue of the Hilbert space spectral theory in the abstract framework of orthomodular lattices. We develop the theory of spectral automorphisms finding previously missing characterizations of spectral automorphisms, discussing several examples and the possibility to construct such automorphisms in direct products or horizontal sums of lattices. A factorization of the spectrum of a spectral automorphism is found. The last part of the paper addresses the problem of the unitary time evolution of a system from the point of view of the spectral automorphisms theory. An analogue of the Stonetheorem concerning strongly continuous one-parameter unitary groups is given.

Název v anglickém jazyce

Characterizations of Spectral Automorphisms and a Stone-Type Theorem in Orthomodular Lattices

Popis výsledku anglicky

The notion of spectral automorphism of an orthomodular lattice was introduced by Ivanov and Caragheorgheopol (Int. J. Theor. Phys. 49(12):3146-3152, 2010) to create an analogue of the Hilbert space spectral theory in the abstract framework of orthomodular lattices. We develop the theory of spectral automorphisms finding previously missing characterizations of spectral automorphisms, discussing several examples and the possibility to construct such automorphisms in direct products or horizontal sums of lattices. A factorization of the spectrum of a spectral automorphism is found. The last part of the paper addresses the problem of the unitary time evolution of a system from the point of view of the spectral automorphisms theory. An analogue of the Stonetheorem concerning strongly continuous one-parameter unitary groups is given.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Theoretical Physics

ISSN

0020-7748

e-ISSN

—

Svazek periodika

50

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

3750-3760

Kód UT WoS článku

000296923500009

EID výsledku v databázi Scopus

—