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I wish to do a reading course in Operator Theory. Thus, I am looking for some references in the area. Right now, I have the following two sources available:


  1. Unbounded Self-Adjoint Operators on Hilbert Spaces - Konrad Schumdgen.
  2. A course in Operator Theory - J.B. Conway.
  3. Linear Operators on Hilbert Spaces - J. Wiedmann.

Could someone please provide me more references?

Moreover, are there some standard topics that I would do well to cover?

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Two popular books are :

  1. Douglas' "Banach algebra techniques in Operator Theory" and
  2. Murphy's "C* Algebras and Operator theory"

I like Douglas' style, but content-wise, I think Murphy is more standard.

Operator theory and Operator Algebras have a large overlap (particularly at the early-graduate-school level), so any book that professes to teach Operator Algebras would work just as well.

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  • $\begingroup$ $+1$ for Murphy's Book.. :) $\endgroup$ – user87543 Sep 14 '13 at 17:32
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I strongly feel

http://moothathu.files.wordpress.com/2013/03/tksm-operatortheory1.pdf

http://moothathu.files.wordpress.com/2013/03/tksm-operatortheory2.pdf

http://moothathu.files.wordpress.com/2013/03/tksm-operatortheory3.pdf

these would help you.

These are actually lecture notes form a M.Sc course in University of Hyderabad (taught by Dr.T.K.S.Moothathu). He has covered some advanced topics also.. I took his course but dont ask me anything... :P

all the best..

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  • $\begingroup$ These look good! $\endgroup$ – Vishal Gupta Sep 15 '13 at 3:45
  • $\begingroup$ Then go ahead!! :) all the best $\endgroup$ – user87543 Sep 16 '13 at 1:37

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