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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Bibliographic Details
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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Summary: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.
ISSN:1972-6724
2198-2759
DOI:10.1007/s40574-023-00364-w