Rotundity redux

A.C. Yorke

doi:10.1017/S1446788700022989

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Journal article

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Peer reviewed

Rotundity redux

A.C. Yorke

Journal of the Australian Mathematical Society, Vol.38(02), pp.143-151

1985

DOI: https://doi.org/10.1017/S1446788700022989

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Abstract

Recently the concept of uniform rotundity was generalized for real Banach spaces by using a type of “area” devised for these spaces. This paper modifies the methods used for uniform rotundity and applies them to weak rotundity in real and complex spaces. This leads to the definition of k-smoothness, k-very smoothness and k-strong smoothness. As an application, several sufficient conditions for reflexivity are obtained.

Details

Title: Rotundity redux
Authors/Creators: A.C. Yorke (Author/Creator)
Publication Details: Journal of the Australian Mathematical Society, Vol.38(02), pp.143-151
Publisher: Cambridge University Press
Identifiers: 991005540638907891
Murdoch Affiliation: School of Mathematical and Physical Sciences
Language: English
Resource Type: Journal article

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Citation topics: 9 Mathematics; 9.50 Applied Statistics & Probability; 9.50.1224 Banach Space
Web Of Science research areas: Mathematics; Statistics & Probability
ESI research areas: Mathematics