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A survey on subideals of operators and an introduction to subideal-traces
S. Patnaik, G. Weiss
Operator ideals in B(H) are well understood and exploited but ideals inside them have only recently been studied starting with the 1983 seminal work of Fong and Radjavi and continu…
Interplay between Algebraic Groups, Lie Algebras and Operator Ideals
Daniel Beltita, Sasmita Patnaik, Gary Weiss
In the framework of operator theory, we investigate a close Lie theoretic relationship between all operator ideals and certain classical groups of invertible operators that can be…
Subideals of operators
S. Patnaik, G. Weiss
A subideal is an ideal of an ideal of B(H) and a principal subideal is a principal ideal of an ideal of B(H). We determine necessary and sufficient conditions for a principal subid…
Subideals of operators II
S. Patnaik, G. Weiss
A subideal (also called a J-ideal) is an ideal of a B(H)-ideal J. This paper is the sequel to Subideals of operators where a complete characterization of principal and then finitel…