Banach spaces for which the space of operators has 2(c) closed ideals

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00355102" target="_blank" >RIV/68407700:21230/21:00355102 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1017/fms.2021.23" target="_blank" >https://doi.org/10.1017/fms.2021.23</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1017/fms.2021.23" target="_blank" >10.1017/fms.2021.23</a>

Result language

angličtina

Original language name

Banach spaces for which the space of operators has 2(c) closed ideals

Original language description

We formulate general conditions which imply that L(X, Y), the space of operators from a Banach space X to a Banach space Y, has 2(c) closed ideals, where c is the cardinality of the continuum. These results are applied to classical sequence spaces and Tsirelson-type spaces. In particular, we prove that the cardinality of the set ofclosed ideals in L(l(p) circle plus l(p)) is exactly 2(c) for all 1 < p < q < infinity.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

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

Name of the periodical

Forum of Mathematics, Sigma

ISSN

2050-5094

e-ISSN

2050-5094

Volume of the periodical

9

Issue of the periodical within the volume

e27

Country of publishing house

GB - UNITED KINGDOM

Number of pages

20

Pages from-to

1-20

UT code for WoS article

000630413200001

EID of the result in the Scopus database

2-s2.0-85102921394