North-Holland Mathematical Library

Volume 1

By: Corneliu Constantinescu (Editor)

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Hardcover | 30 April 2001

At a Glance

Hardcover
400 Pages

Dimensions(cm)
22.23 x 15.24 x 1.91

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Introduction.

Some Notation and Terminology.

1. Banach Spaces.

1.1 Normed Spaces.

1. 1.1 General Results.

1.1.2 Some Standard Examples.

1.1.3 Minkowski's Theorem.

1.1.4 Locally Compact Normed Spaces.

1.1.5 Products of Normed Spaces.

1.1.6 Summable Families.

Exercises.

1.2 Operators.

1.2.1 General Results.

1.2 .2 Standard Examples.

1.2.3 Infinite Matrices.

1.2.4 Quotient Spaces.

1.2.5 Complemented Subspaces.

1.2.6 The Topology of Pointwise Convergence.

1.2.7 Convex Sets.

1.2.8 The Alaoglu-Bourbaki Theorem .

1.2.9 Bilinear Maps.

Exercises.

1.3 The Hahn-Banach Theorem.

1.3.1 The Banach Theo rem.

1.3.2 Examples in Measure Theory.

1.3 .3 The Hahn-Banach Theorem.

1.3.4 The Transpose of an Ope rator.

1.3.5 Polar Sets.

1.3.6 The Bidual.

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You Can Find This Book In

Non-Fiction Mathematics Algebra Science Physics Calculus & Mathematical Analysis Functional Analysis & Transforms Differential Calculus & Equations Topology Real Analysis

Introduction
Some Notation and Terminology
Banach Spaces
Normed Spaces
General Results
Some Standard Examples
Minkowski's Theorem
Locally Compact Normed Spaces
Products of Normed Spaces
Summable Families
Exercises
Operators
General Results
Standard Examples
Infinite Matrices
Quotient Spaces
Complemented Subspaces
The Topology of Pointwise Convergence
Convex Sets
The Alaoglu-Bourbaki Theorem
Bilinear Maps=====
Exercises
The Hahn-Banach Theorem
The Banach Theorem
Examples in Measure Theory
The Hahn-Banach Theorem
The Transpose of an Operator
Polar Sets
The Bidual
The Krein-`mulian Theorem
Reflexive Spaces
Completion of Normed Spaces
Analytic Functions.Exercises
Applications of Baire's Theorem
The Banach-Steinhaus Theorem
Open Mapping Principle
Exercises
Banach Categories
Definitions
Functors
Nuclear Maps
General Results
Examples
Ordered Banach Spaces
Ordered Normed Spaces
Order Continuity
Name
Index Subject
Index Symbol
Index
Table of Contents provided by Publisher. All Rights Reserved.

North-Holland Mathematical Library

Volume 1

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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