Linear Analysis

An Introductory Course

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Paperback | 3 May 1999 | Edition Number 2

At a Glance

Paperback
256 Pages

Edition Type
Revised

Dimensions(cm)
22.86 x 15.24 x 1.47

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Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim is not just to cover the standard material in a standard way, but to present results of application in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include the geometry of finite-dimensional spaces, invariant subspaces, fixed-point theorems, and the Bishop-Phelps theorem. An outstanding feature is the large number of exercises, some straightforward, some challenging, none uninteresting.

Industry Reviews

' ... a well-written concise introduction to functional analysis.' European Mathematical Society 'Bollobas writes with clarity and has clearly thought about the needs of his readers. First-time students of functional analysis will thank him for his willingness to remind them about notation and to repeat definitions that he has not used for a while. Bollobas has written a fine book. it is an excellent introduction to functional analysis that will be invaluable to advanced undergraduate students (and their lectures). Steve Abbott, The Mathematical Gazette

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Probability & Statistics Algebra

Preface
Basic inequalities
Normed spaces and bounded linear operators
Linear functional and the Hahn-Banach theorem
Finite-dimensional normed spaces
The Baire category theorem and the closed-graph theorem
Continuous functions on compact spaces and the Stone-Weierstrass theorem
The contraction-mapping theorem
Weak topologies and duality
Euclidean spaces and Hilbert spaces
Orthonormal systems
Adjoint operators
The algebra of bounded linear operators
Compact operators on Banach spaces
Compact normal operators
Fixed-point theorems
Invariant subspaces
Index of notation
Index of terms
Table of Contents provided by Publisher. All Rights Reserved.

Linear Analysis

An Introductory Course

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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