Mark E. Mancuso
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View article: Student pedagogical partnerships to advance inclusive teaching during the COVID-19 pandemic
Student pedagogical partnerships to advance inclusive teaching during the COVID-19 pandemic Open
The current health crisis brought about by the COVID-19 pandemic not only had a global impact, it also exacerbated the inequalities experienced by students of diverse backgrounds in the United States. Implementing inclusive and anti-racist…
View article: Noncommutative partially convex rational functions
Noncommutative partially convex rational functions Open
Motivated by classical notions of bilinear matrix inequalities (BMIs) and partial convexity, this article investigates partial convexity for noncommutative functions. It is shown that noncommutative rational functions that are partially co…
View article: Noncommutative functions are weakly algebraic on operatorial polynomial polyhedra
Noncommutative functions are weakly algebraic on operatorial polynomial polyhedra Open
An operatorial polynomial polyhedron is a set of the form $$B_δ(\mathcal{B}(\mathcal{H}))=\{X\in \mathcal{B}(\mathcal{H})^d : \Vertδ(X)\Vert<1\}$$ where $\mathcal{B}(\mathcal{H})$ denotes the space of bounded operators on a separable Hilbe…
View article: Inverse and Implicit Function Theorems for Noncommutative Functions on Operator Domains
Inverse and Implicit Function Theorems for Noncommutative Functions on Operator Domains Open
We introduce a notion of a noncommutative function defined on a domain of $d$-tuples of bounded operators on an infinite dimensional Hilbert space. Inverse and implicit function theorems in this setting are established. When these operator…