Taiwanese Journal of Mathematics

BALL SEPARATION PROPERTIES IN BANACH SPACES AND EXTREMAL PROPERTIES OF UNIT BALL IN DUAL SPACES

Bor-Luh Lin

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Abstract

Various ball separation properties in Banach spaces and their relationships with the extremal structures of the unit ball of dual space are presented. The relationships of these properties with the ball convexity, ball topology in Banach spaces and Banach spaces with the Radon- Nikodyn property are discussed.

Article information

Source
Taiwanese J. Math., Volume 1, Number 4 (1997), 405-416.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500406119

Digital Object Identifier
doi:10.11650/twjm/1500406119

Mathematical Reviews number (MathSciNet)
MR1486562

Zentralblatt MATH identifier
0908.46009

Subjects
Primary: 46B20: Geometry and structure of normed linear spaces 46B22: Radon-Nikodým, Kreĭn-Milman and related properties [See also 46G10]

Keywords
ball separation properties weak$^*$-denting points weak$^*$ points of continuity weak$^*$weak points of continuity weak$^*$-strongly extreme points extreme points

Citation

Lin, Bor-Luh. BALL SEPARATION PROPERTIES IN BANACH SPACES AND EXTREMAL PROPERTIES OF UNIT BALL IN DUAL SPACES. Taiwanese J. Math. 1 (1997), no. 4, 405--416. doi:10.11650/twjm/1500406119. https://projecteuclid.org/euclid.twjm/1500406119


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