Embedding Banach spaces into the space of bounded functions with countable support

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00508350" target="_blank" >RIV/67985840:_____/19:00508350 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1002/mana.201800308" target="_blank" >http://dx.doi.org/10.1002/mana.201800308</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mana.201800308" target="_blank" >10.1002/mana.201800308</a>

Result language

angličtina

Original language name

Embedding Banach spaces into the space of bounded functions with countable support

Original language description

We prove that a WLD subspace of the space lc∞(Γ) consisting of all bounded, countably supported functions on a set Γ embeds isomorphically into l∞ if and only if it does not contain isometric copies of c0(ω1). Moreover, a subspace of lc∞(ω1) is constructed that has an unconditional basis, does not embed into l∞, and whose every weakly compact subset is separable (in particular, it cannot contain any isomorphic copies of c0(ω1)).

Czech name

—

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

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2019

Confidentiality

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

Name of the periodical

Mathematische Nachrichten

ISSN

0025-584X

e-ISSN

—

Volume of the periodical

292

Issue of the periodical within the volume

9

Country of publishing house

DE - GERMANY

Number of pages

4

Pages from-to

2028-2031

UT code for WoS article

000485932500008

EID of the result in the Scopus database

2-s2.0-85067418190