Strict Convexity and Complex Strict Convexity
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A01=Vasile I. Istratescu
advanced convexity in functional spaces
approximation methods
Author_Vasile I. Istratescu
banach
Banach Space
Category=PBKF
Complex Banach Spaces
Continuous Linear Functional
Convex Space
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Extension Theorem
fixed point applications
functional analysis
functions
geometric properties
graduate mathematics textbook
Hahn Banach Extension Theorem
Hahn Banach Theorem
Hilbert Space
holomorphic
Holomorphic Functions
linear
Linear Space
Locally Convex Spaces
optimization theory
product
Real Banach Space
Real Linear Space
semi-inner
Semi-inner Product
set
space
spaces
strictly
Strictly Convex
Subharmonic Function
Uniformly Convex
Vasile I. Istratescu
Von Neumann Algebra
Product details
- ISBN 9780824717964
- Weight: 620g
- Dimensions: 210 x 280mm
- Publication Date: 13 Dec 1983
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Paperback
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This important work provides a comprehensive overview of the properties of Banachspaces related to strict convexity and a survey of significant applications-uniting a wealthof information previously scattered throughout the mathematical literature in a well-organized,accessible format.After introducing the subject through a discussion of the basic results of linear functionalanalysis, this unique book proceeds to investigate the characteristics of strictly convexspaces and related classes, including uniformly convex spaces, and examine important applicationsregarding approximation theory and fixed point theory. Following this extensivetreatment, the book discusses complex strictly convex spaces and related spaces- alsowith applications. Complete, clearly elucidated proofs accompany results throughout thebook, and ample references are provided to aid further research of the subject.Strict Convexity and Complex Strict Convexity is essential fot mathematicians and studentsinterested in geometric theory of Banach spaces and applications to approximationtheory and fixed point theory, and is of great value to engineers working in optimizationstudies. In addition, this volume serves as an excellent text for a graduate course inGeometric Theory of Banach Spaces.
