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Zbl 1136.46010
Mitani, Ken-Ichi; Saito, Kichi-Suke
A characterization of $B$-convexity and $J$-convexity of Banach spaces.
(English)
[J] Banach J. Math. Anal. 1, No. 1, 33-42, electronic only (2007). ISSN 1735-8787/e

The authors characterize the $B_n$-convexity and $J_n$-convexity of a Banach space $X$ using the $\psi$-direct sum $(X\oplus\cdots\oplus X)_\psi$, where $\psi$ is a continuous convex function on a certain convex subset of $\mathbb{R}^n$.
[Satit Saejung (Khon Kaen)]
MSC 2000:
*46B20 Geometry and structure of normed spaces

Keywords: $B_n$-convexity; $J_n$-convexity; $\psi$-direct sum

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