Jireh Loreaux

activity

20142025

most citedMajorization and a Schur-Horn Theorem for positive compact operators, the nonzero kernel case

23 citations · 69 across the 15 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.FA2021

Closedness of the orbit-closed $C$ -numerical range and submajorization

Jireh Loreaux, Sasmita Patnaik

For a positive trace-class operator $C$ and a bounded operator $A$ , we provide an explicit description of the closure of the orbit-closed $C$ -numerical range of $A$ in terms of tho…

math.OA2021

$K_{1}$ -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 $K_{1}$ -injective. As a consequence, we obtain interesting $K K$ -uniqueness theorems which genera…

math.FA2021

Matrix splitting and ideals in $B (H)$

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…

Closedness of the orbit-closed C-numerical range and submajorization

K1​-injectivity of the Paschke dual algebra, and uniqueness

Matrix splitting and ideals in B(H)

Closedness of the orbit-closed $C$ -numerical range and submajorization

$K_{1}$ -injectivity of the Paschke dual algebra, and uniqueness

Matrix splitting and ideals in $B (H)$