Considerable Sets of Linear Operators in Hilbert Spaces as Operator Generalized Effect Algebras

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F11%3A00055104" target="_blank" >RIV/00216224:14310/11:00055104 - isvavai.cz</a>

Result on the web

<a href="http://www.springerlink.com/content/34h7p0018736878x/" target="_blank" >http://www.springerlink.com/content/34h7p0018736878x/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10701-011-9573-0" target="_blank" >10.1007/s10701-011-9573-0</a>

Result language

angličtina

Original language name

Considerable Sets of Linear Operators in Hilbert Spaces as Operator Generalized Effect Algebras

Original language description

We show that considerable sets of positive linear operators namely their extensions as closures, adjoints or Friedrichs positive self-adjoint extensions form operator (generalized) effect algebras. Moreover, in these cases the partial effect algebraic operation of two operators coincides with usual sum of operators in complex Hilbert spaces whenever it is defined. These sets include also unbounded operators which play important role of observables (e.g., momentum and position) in the mathematical formulation of quantum mechanics.

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

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

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

Name of the periodical

Foundations of Physics

ISSN

0015-9018

e-ISSN

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Volume of the periodical

41

Issue of the periodical within the volume

10

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

1634-1647

UT code for WoS article

000294505200004

EID of the result in the Scopus database

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