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math.FA2022★ 1 cited
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…
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…
math.FA2021
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…