Symmetric norm ideals and relative conjugate ideals

Salinas, Norberto

doi:10.1090/S0002-9947-1974-0336371-3

Symmetric norm ideals and relative conjugate ideals
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Trans. Amer. Math. Soc. 188 (1974), 213-240 Request permission

Abstract:

In this paper some aspects of the algebraic structure of the ring of all bounded linear operators on an infinite dimensional separable complex Hilbert space are discussed. In particular, a comparison criterion for maximal and minimal norm ideals is established. Also, a general notion of the conjugate of an ideal relative to another ideal is studied and some questions concerning joins and intersections of ideals are solved.

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