[Math] Operator Theory References and Topics

operator-theoryreference-requestself-learning

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?

Best Answer

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.

Related Question