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Uniformly convex functions on Banach spaces
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SYSNO ASEP 0324261 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Uniformly convex functions on Banach spaces Title Uniformně konvexní funkce na Banachových prostorech Author(s) Borwein, J. (AU)
Guirao, A. J. (ES)
Hájek, Petr Pavel (MU-W) RID, SAI
Vanderwerff, J. (US)Source Title Proceedings of the American Mathematical Society. - : American Mathematical Society - ISSN 0002-9939
Roč. 137, č. 3 (2009), s. 1081-1091Number of pages 11 s. Language eng - English Country US - United States Keywords power type 2 ; uniform convexity Subject RIV BA - General Mathematics R&D Projects IAA100190502 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) IAA100190801 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000261153200037 Annotation We prove that a Banach space admits a renorming with modulus of continuity of power type 2 if and only if it admits a uniformly convex function with a growth upper estimate of power type 2. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2009
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