# About the trace class operators and their motivation

What is the motivation for trace class operators? Can anybody suggest the most general and standard reference that includes Schatten $p$ class operators as well? I have the following references.

1. Operator theory by Conway
2. Operator theory in function spaces by Kehe Zhu

Can anybody suggest even better?

-
Also seen at mathoverflow.net/questions/150915/… – anon Dec 5 '13 at 18:40

See Trace Ideals and Their Applications by Barry Simon. He covers the general theory of Schatten ideals and their applications, with particular attention to applications in quantum physics.

-

Matrix Analysis by Rajendra Bhatia

-
Does this cover infinite dimensions? (The notion of "trace class" is trivial in finite dimensions) – sandwich Jul 15 '15 at 19:53
I donot remember it, but The Homology of Banach and Topological Algebras by A. Ya. Helemskii will be helpful for you. – Takhteh_pareh Jul 15 '15 at 20:18