The maximum principle for holomorphic operator functions

DOI10.1007/s00020-010-1835-2zbMath1239.47010OpenAlexW2006986825MaRDI QIDQ537507

Andrzej Daniluk

Publication date: 20 May 2011

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1835-2

zbMATH Keywords

maximum principleBanach spaceuniformly convex spaceholomorphic operator function

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Holomorphic functions of several complex variables (32A10)

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On \((N,\epsilon)\)-pseudospectra of operators on Banach spaces ⋮ Finite Sections of Band-dominated Operators – Norms, Condition Numbers and Pseudospectra ⋮ Maximum Principles for Matrix-Valued Analytic Functions

Cites Work

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• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space
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