Complex extreme points and complex rotundity in Orlicz function spaces equipped with the p -Amemiya norm

It is well known that extreme points which are connected with strict convexity of the whole spaces are the most basic and important geometric points in the geometric theory of Banach spaces. In this paper, criteria for complex extreme points and complex strict convexity in Orlicz function spaces equ...

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Bibliographic Details
Published in:Nonlinear analysis Vol. 73; no. 5; pp. 1389 - 1393
Main Authors: Chen, Lili, Cui, Yunan
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 01.09.2010
Elsevier
Subjects:
[formula omitted]-Amemiya norm
Banach space
Complex extreme points
Complex strict convexity
Convexity
Criteria
Exact sciences and technology
Function space
Functional analysis
Mathematical analysis
Mathematics
Nonlinearity
Norms
Orlicz function spaces
Sciences and techniques of general use
Several complex variables and analytic spaces
46B20
Complex strict convexity
Complex extreme points
Orlicz function spaces
p -Amemiya norm
46E30
Complex function
Nonlinear analysis
Convexity
Mathematical model
p-Amemiya norm
ISSN:0362-546X, 1873-5215
Online Access:Get full text
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Summary:It is well known that extreme points which are connected with strict convexity of the whole spaces are the most basic and important geometric points in the geometric theory of Banach spaces. In this paper, criteria for complex extreme points and complex strict convexity in Orlicz function spaces equipped with the p -Amemiya norm are given.
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content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2010.04.071