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Functional Analysis by Christian Remling
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Functional Analysis written by Christian Remling
These are lecture notes topics contains Spectral Theorem for (bounded, in this first part) normal operators on Hilbert spaces; this is approached through the Gelfand representation of commutative algebras. Banach space topics are ruthlessly reduced to the mere basics (some would argue, less than that); topological vector spaces are n’t mentioned at all.
Book Detail :-
Title: Functional Analysis:Introduction to Further Topics in Analysis
Author(s): Christian Remling
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About Author :-
Author Christian Remling , Department of Mathematics, University of Oklahoma, Norman, USA. He was famous because of his book Spectral Theory of Canonical Systems.
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Book Contents :-
Functional Analysis written by Christian Remling cover the following topics.
1. Metric and topological spaces
2. Banach spaces
3. Consequences of Baire’s Theorem
4. Dual spaces and weak topologies
5. Hilbert spaces
6. Operators in Hilbert spaces
7. Banach algebras
8. Commutative Banach algebras
10. The Spectral Theorem
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