<<A>> characterization of (locally) uniformly convex spaces in terms of relative openness of quotient maps on the unit ball

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F00%3A00055944" target="_blank" >RIV/49777513:23520/00:00055944 - 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

<<A>> characterization of (locally) uniformly convex spaces in terms of relative openness of quotient maps on the unit ball

Original language description

Relative openness of quotient maps on the closed unit ball U of a normed linear space is studied. Uniformly convex spaces are characterized. It follows from the results that the quotient maps associated with the closed linear subspaces of a space X are equally relatively open on U if and only if X is locally uniformly convex. Also, X is locally uniformly convex if and only if for any family of linear maps defined on X, equal relative openness on X implies equal relative openness on U. Similarly, uniformly convex spaces are characterized in terms of equal uniform relative openness of quotient maps on U.

Czech name

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Czech description

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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

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2000

Confidentiality

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

Name of the periodical

Journal of Functional Analysis

ISSN

00221236

e-ISSN

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Volume of the periodical

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Issue of the periodical within the volume

č. 1

Country of publishing house

US - UNITED STATES

Number of pages

15

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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