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math.FA2021
On Simplicity of Lie Algebras of Compact Operators: A Direct Approach
Sasmita Patnaik
We investigate an algebraic variant of the Wojtyński problem on the simplicity of Lie algebras of compact operators on a separable infinite-dimensional complex Hilbert space. We pr…
math.FA2021
Closedness of the orbit-closed -numerical range and submajorization
Jireh Loreaux, Sasmita Patnaik
For a positive trace-class operator and a bounded operator , we provide an explicit description of the closure of the orbit-closed -numerical range of in terms of tho…