Isomorphisms of C(K, E) Spaces and Height of K

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10475597" target="_blank" >RIV/00216208:11320/23:10475597 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=YpWEmfLSOs" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=YpWEmfLSOs</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00009-023-02400-7" target="_blank" >10.1007/s00009-023-02400-7</a>

Result language

angličtina

Original language name

Isomorphisms of C(K, E) Spaces and Height of K

Original language description

Let K-1, K-2 be compact Hausdorff spaces and E-1, E-2 be Ba-nach spaces not containing a copy of c(0). We establish lower estimates of the Banach-Mazur distance between the spaces of continuous functions C(K-1, E-1) and C(K-2, E-2) based on the ordinals ht(K-1), ht(K-2), which are new even for the case of spaces of real-valued functions on ordinal intervals. As a corollary we deduce that C(K-1, E-1) and C(K-2, E-2) are not isomorphic if ht(K-1) is substantially different from ht(K-2).

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

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

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

Name of the periodical

Mediterranean Journal of Mathematics

ISSN

1660-5446

e-ISSN

1660-5454

Volume of the periodical

20

Issue of the periodical within the volume

4

Country of publishing house

CH - SWITZERLAND

Number of pages

13

Pages from-to

194

UT code for WoS article

000978366000006

EID of the result in the Scopus database

2-s2.0-85154036295