1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
-injectivity of the Paschke dual algebra, and uniqueness
Jireh Loreaux, P. W. Ng, Arindam Sutradhar
We prove that a large class of Paschke dual algebras of simple unital C*-algebras are -injective. As a consequence, we obtain interesting -uniqueness theorems which genera…
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…