Unbounded local completely contractive maps
Maria Joi\c{t}a
TL;DR
This paper extends fundamental theorems in operator theory to unbounded local completely contractive maps, providing new tools for their analysis and extension.
Contribution
It introduces a local convex version of Arveson's and Wittstock's extension theorems and establishes a Stinespring type theorem for unbounded local completely contractive maps.
Findings
Proved a local convex version of Arveson's extension theorem.
Established a local convex version of Wittstock's extension theorem.
Developed a Stinespring type theorem for unbounded local completely contractive maps.
Abstract
We prove a local convex version of Arveson's extension theorem and of Wittstock's extension theorem. Also we prove a Stinespring type theorem for unbounded local completely contractive maps.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Equations and Dynamical Systems · Advanced Operator Algebra Research