What Are the Best Resources to Learn Operators and Operator Theory?

AI Thread Summary
The discussion centers on a request for resources on operators and operator theory, emphasizing the desire for rigorous material. Recommended resources include Apostol's "Calculus Vol II" for a solid introduction to linear algebra, and Shankar's "Principles of Quantum Mechanics" for its formalism. Additionally, Reed and Simon's work is highlighted as a standard reference for understanding the mathematics underlying quantum theory, particularly beneficial for physicists.
von_Bismarck
Presently I am very much interested in learning of operators and operator theory. Any information provided would be greatly appreciated, esp. in the form of recommended books or websites (the more rigorous, the better).

Thank you in advance!
 
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How much linear algebra do you know? Apostol's Calcus Vol II covers an intro to that very rigorously...
 
In my opinion, Shankar's Principles of Quantum Mechanics gives the best introduction to formalism.

eNtRopY
 
IMO a good introduction for physicist is a set by Reed and Simon, a standard reference for anyone who want to understand math behind quantum theory.

Instanton
 

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