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math.HO2026
How to Bake a Composition Operator from Scratch
Michael R Pilla
At face value, composition operators look like something first experienced in algebra. It's just composition of functions after all. However, there is a deep and technical setting…
math.FA2026
Rhaly-Type Operators in Several Complex Variables
Michael R. Pilla
Recently, a generalization of the Cesàro operator to several variables was introduced as a tuple acting on the Drury-Arveson space \cite{P}. We determine the norm of these Cesàro-t…
math.FA2026
Cesàro-Type Operators Acting on the Drury-Arveson Space
Michael R. Pilla
The celebrated Cesàro operator is a well-known operator with interesting connections to a variety of objects in operator theory. Generalizations have been made for Cesàro-type oper…