Subdifferentiability and polyhedrality of the norm

Let X be an infinite dimensional real Banach space. In this paper, motivated by the work of Contreras et al. (J Math Anal Appl 198:227–236, 1996) we study Banach space properties that are necessary or sufficient to ensure subdifferentiability of the norm at all unit vectors.

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Published inBollettino della Unione matematica italiana (2008) Vol. 16; no. 4; pp. 741 - 746
Main Author Rao, T. S. S. R. K.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2023
Springer Nature B.V
Subjects
Banach spaces
Mathematics
Mathematics and Statistics
Strong subdifferentiability of the norm
Radon–Nikodym property
46B25
Primary 46B20
predual spaces
Function algebras
Weakly Hahn–Banach smooth spaces
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Abstract Let X be an infinite dimensional real Banach space. In this paper, motivated by the work of Contreras et al. (J Math Anal Appl 198:227–236, 1996) we study Banach space properties that are necessary or sufficient to ensure subdifferentiability of the norm at all unit vectors.
AbstractList Let X be an infinite dimensional real Banach space. In this paper, motivated by the work of Contreras et al. (J Math Anal Appl 198:227–236, 1996) we study Banach space properties that are necessary or sufficient to ensure subdifferentiability of the norm at all unit vectors.
Let X be an infinite dimensional real Banach space. In this paper, motivated by the work of Contreras et al. (J Math Anal Appl 198:227–236, 1996) we study Banach space properties that are necessary or sufficient to ensure subdifferentiability of the norm at all unit vectors.
Author Rao, T. S. S. R. K.
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  organization: Department of Mathematics, Shiv Nadar University
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Cites_doi 10.1007/s00605-022-01739-5
10.1006/jmaa.1996.0078
10.5209/rev_REMA.2001.v14.n1.17047
10.1307/mmj/1029005074
10.1007/BF01200440
10.1090/S0002-9947-1981-0628453-7
10.2140/pjm.1986.121.109
10.1007/BFb0084355
10.1090/surv/015
10.1515/jaa-2022-1036
10.1007/978-3-642-65762-7
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Issue 4
Keywords Strong subdifferentiability of the norm
Radon–Nikodym property
46B25
Primary 46B20
predual spaces
Function algebras
Weakly Hahn–Banach smooth spaces
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Snippet Let X be an infinite dimensional real Banach space. In this paper, motivated by the work of Contreras et al. (J Math Anal Appl 198:227–236, 1996) we study...
Let X be an infinite dimensional real Banach space. In this paper, motivated by the work of Contreras et al. (J Math Anal Appl 198:227–236, 1996) we study...
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SubjectTerms Banach spaces
Mathematics
Mathematics and Statistics
Title Subdifferentiability and polyhedrality of the norm
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https://www.proquest.com/docview/2876015859/abstract/
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