Functional Analysis in Asymmetric Normed Spaces

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Functional Analysis in Asymmetric Normed Spaces

種類:

電子ブック

責任表示:

by Ştefan Cobzaş

出版情報:

Basel : Springer Basel : Imprint: Birkhäuser, 2013

著者名:

シリーズ名:

Frontiers in Mathematics ;

ISBN:

9783034804783 [3034804784]

ローカル注記:

学内専用E-BOOKS (local access only)

オンライン

http://dx.doi.org/10.1007/978-3-0348-0478-3

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子書誌情報

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詳細

主題:

Approximations and Expansions; Functional Analysis; Mathematics; Operator Theory; Topology

分類・件名:

DC23 : 515.7
LCSH : Mathematics
LCSH : Functional analysis
LCSH : Operator theory
LCSH : Topology
FREE : Mathematics
FREE : Functional Analysis
FREE : Approximations and Expansions
FREE : Operator Theory
FREE : Topology

形態:

X, 219 p. 1 illus. in color : digital

目次情報:

Introduction.- 1. Quasi-metric and Quasi-uniform Spaces. 1.1. Topological properties of quasi-metric and quasi-uniform spaces
1.2. Completeness and compactness in quasi-metric and quasi-uniform spaces.- 2. Asymmetric Functional Analysis
2.1. Continuous linear operators between asymmetric normed spaces
2.2. Hahn-Banach type theorems and the separation of convex sets
2.3. The fundamental principles
2.4. Weak topologies
2.5. Applications to best approximation
2.6. Spaces of semi-Lipschitz functions
Bibliography
Index

Introduction.- 1. Quasi-metric and Quasi-uniform Spaces. 1.1. Topological properties of quasi-metric and quasi-uniform spaces
1.2. Completeness and compactness in quasi-metric and quasi-uniform spaces.- 2. Asymmetric Functional Analysis
2.1. Continuous linear operators between asymmetric normed spaces
2.2. Hahn-Banach type theorems and the separation of convex sets
2.3. The fundamental principles
2.4. Weak topologies

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書誌ID:

KB00010161

内容紹介

目次情報

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