Inverse and Implicit Function Theorems for Noncommutative Functions on Operator Domains

zbMath1463.46092arXiv1804.01040MaRDI QIDQ4971918

Mark E. Mancuso

Publication date: 13 October 2020

Full work available at URL: https://arxiv.org/abs/1804.01040

zbMATH Keywords

dilation theorystrong operator topologyfree analysisinverse and implicit function theoremsnoncommutive functionsoperator noncommutative functions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Noncommutative function spaces (46L52) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

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Operator noncommutative functions ⋮ Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem

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