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Linear Analysis An Introductory Course

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ISBN-10: 0521655773

ISBN-13: 9780521655774

Edition: 2nd 1999 (Revised)

Authors: B�la Bollob�s

List price: $83.99
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Description:

Now revised and updated, this brisk introduction to functional analysis is intended for advanced and undergraduate students, typically final year, who have had some background in real analysis.
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Book details

List price: $83.99
Edition: 2nd
Copyright year: 1999
Publisher: Cambridge University Press
Publication date: 3/4/1999
Binding: Paperback
Pages: 256
Size: 5.98" wide x 8.98" long x 0.67" tall
Weight: 0.946
Language: English

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