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On invertible m-isometrical extension of an m-isometry

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00563652" target="_blank" >RIV/67985840:_____/22:00563652 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s00025-022-01765-7" target="_blank" >https://doi.org/10.1007/s00025-022-01765-7</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00025-022-01765-7" target="_blank" >10.1007/s00025-022-01765-7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On invertible m-isometrical extension of an m-isometry

  • Original language description

    We give necessary and sufficient conditions on an m-isometry to have an invertible m-isometrical extension. As particular cases, we give a useful characterization for a general m-isometrical unilateral weighted shift and for ℓ-Jordan isometries. In particular, every ℓ-Jordan isometry operator has an invertible (2 ℓ- 1) -isometrical extension.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GF20-22230L" target="_blank" >GF20-22230L: Banach spaces of continuous and Lipschitz functions</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Results in Mathematics

  • ISSN

    1422-6383

  • e-ISSN

    1420-9012

  • Volume of the periodical

    77

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    21

  • Pages from-to

    233

  • UT code for WoS article

    000870239100001

  • EID of the result in the Scopus database

    2-s2.0-85140226910