A dilation theoretic approach to approximation by inner functions

DOI10.1112/blms.12897arXiv2203.10936OpenAlexW4385392335MaRDI QIDQ6138998

Abhay Jindal, Poornendu Kumar, Tirthankar Bhattacharyya, Daniel Alpay

Publication date: 18 December 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.10936

Mathematics Subject Classification ID

Operator-theoretic methods (93B28) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Approximation in the complex plane (30E10) Dilations, extensions, compressions of linear operators (47A20)

Cites Work

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• Maximum Principles for Matrix-Valued Analytic Functions
• Kummert's approach to realization on the bidisk
• Generalized Interpolation in H ∞
• The convex hull of the finite Blaschke products

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