Topological Vector Spaces

By: M.P. Wolff, H.H. Schaefer

Write A Review

Hardcover | 1 July 1999 | Edition Number 2

At a Glance

Hardcover
368 Pages

Edition Type
Revised

Dimensions(cm)
24.13 x 16.51 x 1.91

Hardcover

$169.75

or 4 interest-free payments of $42.44 with

or

Ships in 5 to 7 business days

Intended as a systematic text on topological vector spaces, this text assumes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banach spaces are not discussed in detail here, since the book is mainly addressed to those readers who wish to go beyond the introductory level. Each of the chapters is preceded by an introduction and followed by exercises, which in turn are devoted to further results and supplements, in particular, to examples and counter-examples, and hints have been given where appropriate. This second edition has been thoroughly revised and includes a new chapter on C^* and W^* algebras.

Industry Reviews

"The book has firmly established itself both as a superb introduction to the subject and as a very common source of reference. It is beccoming evident that the book itself will only become irrelevant and pale into insignificance when (and if!) the entire subject of topological vector spaces does. An attractive feature of the book is that it is essentially self-contained, and thus perfectly suitable for senior students having a basic training in the area of elementary functional analysis and set-theoretic topology. My view - let even possibly biased for sentimental resasons - is that the book under review would make for a very practical and useful addition to every matahemtaician's personal office collection."
Vladimir Pestov in Nesletter of the New Zealand Mathematical Society, August 2000

Second Edition

H.H. Schaefer and M.P. Wolff

Topological Vector Spaces

"The reliable textbook, highly esteemed by several generations of students since its first edition in 1966 . . . The book contains a large number of interesting exercises . . . the book of Schaefer and Wolff is worth reading."--ZENTRALBLATT MATH

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Geometry

The Maths Book

Big Ideas Simply Explained

Hardcover

RRP $42.99

$32.75

24%
OFF

The Golden Ratio

Divine Beauty of Mathematics

Hardcover

RRP $59.99

$43.75

27%
OFF

Grade 4 Geometry and Measurement

Kumon Math Workbooks

Paperback

RRP $16.99

$13.75

19%
OFF

Intro to Geometry

Grades 6 - 8

Paperback

RRP $24.99

$18.99

24%
OFF

Geometry

Grades 6 - 8

Paperback

RRP $24.99

$18.75

25%
OFF

Grade 6 Geometry and Measurement

Kumon Math Workbooks

Paperback

RRP $16.99

$13.75

19%
OFF

Essential Trigonometry - Isabella Hughes

$19.75

10%
OFF

Grade 1 Geometry & Measurement

Kumon Math Workbooks

Paperback

RRP $16.99

$13.75

19%
OFF

Calculus

3rd Edition

Hardcover

RRP $97.95

$80.75

18%
OFF

Crocheting Adventures with Hyperbolic Planes

Tactile Mathematics, Art and Craft for all to Explore, Second Edition

Paperback

RRP $58.99

$53.75

Algebraic Topology

Paperback

RRP $75.95

$64.99

14%
OFF

Grade 3 Geometry and Measurement

Paperback

RRP $16.99

$13.75

19%
OFF

Introduction to Lie Algebras

Finite and Infinite Dimension

Hardcover

RRP $312.00

$290.99

The Practice of Algebraic Curves

A Second Course in Algebraic Geometry

Hardcover

RRP $312.00

$290.99

Introduction to Lie Algebras

Finite and Infinite Dimension

Paperback

RRP $206.00

$195.75

The Practice of Algebraic Curves

A Second Course in Algebraic Geometry

Paperback

RRP $206.00

$195.75

Curves and Surfaces for CAGD

A Practical Guide

Hardcover

RRP $191.95

$164.99

14%
OFF

An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised

Volume 120

Paperback

RRP $185.95

$159.75

14%
OFF

Symmetries of Islamic Geometrical Patterns

Hardcover

RRP $129.99

$116.99

10%
OFF

CLOUDS ARE NOT SPHERES

A Portrait Of Benoit Mandelbrot, The Founding Father Of Fractal Geometry

Hardcover

RRP $104.99

$94.75

10%
OFF

Metrics, Norms And Integrals

An Introduction To Contemporary Analysis

Paperback

RRP $131.99

$118.99

10%
OFF

Rigid Local Systems and Sporadic Simple Groups

Paperback

RRP $197.00

$187.75

Preface to the Second Edition
Preface
Prerequisites
Sets and Order	p. 1
General Topology	p. 4
Linear Algebra	p. 9
Topological Vector Spaces
Vector Space Topologies	p. 12
Product Spaces, Subspaces, Direct Sums, Quotient Spaces	p. 19
Topological Vector Spaces of Finite Dimension	p. 21
Linear Manifolds and Hyperplanes	p. 24
Bounded Sets	p. 25
Metrizability	p. 28
Complexification	p. 31
Locally Convex Topological Vector Spaces
Convex Sets and Semi-Norms	p. 37
Normed and Normable Spaces	p. 40
The Hahn-Banach Theorem	p. 45
Locally Convex Spaces	p. 47
Projective Topologies	p. 51
Inductive Topologies	p. 54
Barreled Spaces	p. 60
Bornological Spaces	p. 61
Separation of Convex Sets	p. 63
Compact Convex Sets	p. 66
Linear Mappings
Continuous Linear Maps and Topological Homomorphisms	p. 74
Banach's Homomorphism Theorem	p. 76
Spaces of Linear Mappings	p. 79
Equicontinuity. The Principle of Uniform Boundedness and the Banach-Steinhaus Theorem	p. 82
Bilinear Mappings	p. 87
Topological Tensor Products	p. 92
Nuclear Mappings and Spaces	p. 97
Examples of Nuclear Spaces	p. 106
The Approximation Property. Compact Maps	p. 108
Duality
Dual Systems and Weak Topologies	p. 123
Elementary Properties of Adjoint Maps	p. 128
Locally Convex Topologies Consistent with a Given Duality. The Mackey-Arens Theorem	p. 130
Duality of Projective and Inductive Topologies	p. 133
Strong Dual of a Locally Convex Space. Bidual. Reflexive Spaces	p. 140
Dual Characterization of Completeness. Metrizable Spaces. Theorems of Grothendieck, Banach-Dieudonne, and Krein-Smulian	p. 147
Adjoints of Closed Linear Mappings	p. 155
The General Open Mapping and Closed Graph Theorems	p. 161
Tensor Products and Nuclear Spaces	p. 167
Nuclear Spaces and Absolute Summability	p. 176
Weak Compactness. Theorems of Eberlein and Krein	p. 185
Order Structures
Ordered Vector Spaces over the Real Field	p. 204
Ordered Vector Spaces over the Complex Field	p. 214
Duality of Convex Cones	p. 215
Ordered Topological Vector Spaces	p. 222
Positive Linear Forms and Mappings	p. 225
The Order Topology	p. 230
Topological Vector Lattices	p. 234
Continuous Functions on a Compact Space. Theorems of Stone-Weierstrass and Kakutani	p. 242
C-- and W-- Algebras
Preliminaries	p. 259
C-Algebras. The Gelfand Theorem	p. 260
Order Structure of a C-Algebra	p. 267
Positive Linear Forms. Representations	p. 270
Projections and Extreme Points	p. 274
W-Algebras	p. 277
Von Neumann Algebras. Kaplansky's Density Theorem	p. 287
Projections and Types of W-Algebras	p. 292
Spectral Properties of Positive Operators
Elementary Properties of the Resolvent	p. 307
Pringsheim's Theorem and Its Consequences	p. 309
The Peripheral Point Spectrum	p. 316
Index of Symbols	p. 325
Bibliography	p. 330
Index	p. 339
Table of Contents provided by Blackwell. All Rights Reserved.

Topological Vector Spaces

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Geometry

The Maths Book

Big Ideas Simply Explained

The Golden Ratio

Divine Beauty of Mathematics

Grade 4 Geometry and Measurement

Kumon Math Workbooks

Intro to Geometry

Grades 6 - 8

Geometry

Grades 6 - 8

Grade 6 Geometry and Measurement

Kumon Math Workbooks

Essential Trigonometry

College Geometry

Sacred Geometry

Philosophy and Practice

Grade 1 Geometry & Measurement

Kumon Math Workbooks

Calculus

3rd Edition

Crocheting Adventures with Hyperbolic Planes

Tactile Mathematics, Art and Craft for all to Explore, Second Edition

Algebraic Topology

Grade 3 Geometry and Measurement

Introduction to Lie Algebras

Finite and Infinite Dimension

The Practice of Algebraic Curves

A Second Course in Algebraic Geometry

Introduction to Lie Algebras

Finite and Infinite Dimension

The Practice of Algebraic Curves

A Second Course in Algebraic Geometry

Curves and Surfaces for CAGD

A Practical Guide

An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised

Volume 120

Symmetries of Islamic Geometrical Patterns

CLOUDS ARE NOT SPHERES

A Portrait Of Benoit Mandelbrot, The Founding Father Of Fractal Geometry

Metrics, Norms And Integrals

An Introduction To Contemporary Analysis

Rigid Local Systems and Sporadic Simple Groups

This product is categorised by