2 citations · 5 across the 12 of their papers we have counts for
15 papers
On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators
Sasmita Patnaik, Rahul Sethi
In this paper we determine a sufficient condition for the quasinilpotency of a commutator of compact operators via block-tridiagonal matrix form associated with a compact operator.…
Automatic selfadjoint-ideal semigroups for finite matrices
Sasmita Patnaik, Sanehlata, Gary Weiss
The notion of automatic selfadjointness of all ideals in a multiplicative semigroup of the bounded linear operators on a separable Hilbert space B(H) arose in a 2015 discussion wit…
Singly generated Selfadjoint-Ideal operator semigroups: spectral density of the generator and simplicity
Sasmita Patnaik, Sanehlata, Gary Weiss
This extends our new study of the automatic selfadjoint ideal property for B(H)-operator semigroups introduced to us by Heydar Radjavi (SI semigroups for short). Our investigation…
On commutators of compact operators via block tridiagonalization: generalizations and limitations of Anderson's approach
Jireh Loreaux, Sasmita Patnaik, Srdjan Petrovic +1
We offer a new perspective and some advances on the 1971 Pearcy--Topping problem: Is every compact operator a commutator of compact operators? Our goal is to analyze and generalize…
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…
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…