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

In summary, operators and operator theory are fundamental concepts in mathematics that deal with the manipulation of mathematical objects. Operators are symbols that represent a specific mathematical operation, such as addition, subtraction, multiplication, or division. Operator theory studies the properties and behavior of operators, including their composition, inverses, and applications in various mathematical fields such as functional analysis, differential equations, and quantum mechanics. This area of study is essential for understanding and solving complex mathematical problems and has applications in many scientific fields, including physics, engineering, and economics. Overall, operators and operator theory play a crucial role in modern mathematics and have a wide range of practical applications.
  • #1
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!
 
Physics news on Phys.org
  • #2
How much linear algebra do you know? Apostol's Calcus Vol II covers an intro to that very rigorously...
 
  • #3
In my opinion, Shankar's Principles of Quantum Mechanics gives the best introduction to formalism.

eNtRopY
 
  • #4
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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