Continuous Norms and Absolutely Continuous Norms in Banach Function Spaces Are Not the Same
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F01%3A01071855" target="_blank" >RIV/68407700:21110/01:01071855 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Continuous Norms and Absolutely Continuous Norms in Banach Function Spaces Are Not the Same
Original language description
It is known that the concepts of continuous norm and of absolutely continuous norm do not coincide. There exists a space in which all functions possess continuous norm. In this paper we construct an extremal example of a Banach function space in which all functions have continuous norm but only the zero function has absolutely continuous norm.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F97%2F0744" target="_blank" >GA201/97/0744: Weighted inequalities for integral operators</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2001
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Real Analysis Exchange
ISSN
0147-1937
e-ISSN
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Volume of the periodical
26
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
345-364
UT code for WoS article
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EID of the result in the Scopus database
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