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 in | Bollettino della Unione matematica italiana (2008) Vol. 16; no. 4; pp. 741 - 746 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
01.12.2023
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 1972-6724 2198-2759 |
DOI: | 10.1007/s40574-023-00364-w |