Growth Conditions and Inverse Producing Extensions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F05%3A00031544" target="_blank" >RIV/67985840:_____/05:00031544 - 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

Growth Conditions and Inverse Producing Extensions

Original language description

We study the invertibility of Banach algebras elements in their extensions, and invertible extensions of Banach and Hilbert space operators with prescribed growth conditions for the norm of inverses. As applications, the solutions of two open problems are obtained. In the first one we give a characterization of .epsilon.(T)-subscalar operators in terms of growth conditions. In the second one we show that operators satisfying a Beurling-type growth condition possess Bishop´s property (.beta.). Other applications are also given.

Czech name

Podmínky na růst a rozšíření zajišťující invertibilitu

Czech description

Jsou charakterizovány .epsilon.(T)-substalární operátory pomocí růstu mocnin. Dále je ukázáno, že operátory splňující Beurlingovu podmínku mají Bishopovu vlastnost (.beta.).

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/GA201%2F03%2F0041" target="_blank" >GA201/03/0041: Methods and function theory of Banach algebras in operator theory II.</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2005

Confidentiality

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

Name of the periodical

Journal of Operator Theory

ISSN

0379-4024

e-ISSN

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Volume of the periodical

54

Issue of the periodical within the volume

1

Country of publishing house

RO - ROMANIA

Number of pages

25

Pages from-to

415-439

UT code for WoS article

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EID of the result in the Scopus database

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