23 citations · 103 across the 19 of their papers we have counts for
22 papers
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…
Matrix splitting and ideals in
Jireh Loreaux, Gary Weiss
We investigate the relationship between ideal membership of an operator and its pieces relative to several canonical types of partitions of the entries of its matrix representation…
On diagonals of operators: selfadjoint, normal and other classes
Jireh Loreaux, Gary Weiss
We provide a survey of the current state of the study of diagonals of operators, especially selfadjoint operators. In addition, we provide a few new results made possible by recent…
Universal Block Tridiagonalization in B(H) and Beyond
Sasmita Patnaik, Srdjan Petrovic, Gary Weiss
For H a separable infinite dimensional complex Hilbert space, we prove that every B(H) operator has a basis with respect to which its matrix representation has a universal block tr…