2 citations · 5 across the 12 of their papers we have counts for
10 papers · 1 filter
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…