Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F11%3A00059436" target="_blank" >RIV/00216224:14310/11:00059436 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space

Original language description

We continue in a direction of describing an algebraic structure of linear operators on infinite-dimensional complex Hilbert space H. In [Paseka, J.? ?Janda, J.: More on PT-symmetry in (generalized) effect algebras and partial groups, Acta Polytech. 51 (2011), 65?72] there is introduced the notion of a weakly ordered partial commutative group and showed that linear operators on H with restricted addition possess this structure. In our work, we are investigating the set of self-adjoint linear operators onH showing that with more restricted addition it also has the structure of a weakly ordered partial commutative group.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2011

Confidentiality

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

Name of the periodical

Tatra Mountains Mathematical Publications

ISSN

1210-3195

e-ISSN

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Volume of the periodical

Volume 50

Issue of the periodical within the volume

3

Country of publishing house

SK - SLOVAKIA

Number of pages

16

Pages from-to

63-78

UT code for WoS article

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EID of the result in the Scopus database

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