Classifying matrix-valued holomorphic cross-sections over an annulus up to complete isometric isomorphism

MaRDI QIDQ6574909

Kathryn McCormick, Jacob Cornejo

Publication date: 19 July 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemann surfaceoperator algebramatrix bundlenonselfadjointcomplete isometric isomorphismhomogeneous \(C^\ast\)-algebra

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Operator spaces (= matricially normed spaces) (47L25)

Cites Work

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• The structure of algebras of operator fields
• Abrahamse's interpolation theorem and Fuchsian groups
• Applications of fibre bundles to the certain class of \(C^*\)-algebras
• On the closed ideals in A(W)
• A class of subnormal operators related to multiply-connected domains
• Multiplier tests and subhomogeneity of multiplier algebras
• Matrix bundles and operator algebras over a finitely bordered Riemann surface
• Boundary measures of analytic differentials and uniform approximation on a Riemann surface
• Bounded holomorphic functions and projections
• Subalgebras of \(C^ *\)-algebras
• \({\mathcal H}^p\) sections of vector bundles over Riemann surfaces
• The 𝐻^{𝑝} spaces of an annulus
• Ideals and Invariant Subspaces of Analytic Functions
• Invariant Subspace Theorems for Finite Riemann Surfaces
• Analytic Functions of Class H p
• Complex geometry and operator theory
• Minimal boundaries for operator algebras

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