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Star Order and Partial Isometries in C*-Algebras

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00355040" target="_blank" >RIV/68407700:21230/21:00355040 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1134/S1995080221100085" target="_blank" >https://doi.org/10.1134/S1995080221100085</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1134/S1995080221100085" target="_blank" >10.1134/S1995080221100085</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Star Order and Partial Isometries in C*-Algebras

  • Original language description

    We study the poset of partial isometries in C *-algebras endowed with the *-order and *-orthogonality. We show that this structure is a complete Jordan invariant for AW *-algebras. We prove that partial isometries in von Neumann algebras form a lower semilattice. The structures of partial isometries and projections are compared.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Lobachevskii Journal of Mathematics

  • ISSN

    1995-0802

  • e-ISSN

    1818-9962

  • Volume of the periodical

    42

  • Issue of the periodical within the volume

    10

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    8

  • Pages from-to

    2325-2332

  • UT code for WoS article

    000708949600007

  • EID of the result in the Scopus database

    2-s2.0-85117596831