On operator-valued analytic functions with constant norm

DOI10.1016/0022-1236(74)90030-5zbMath0291.47003OpenAlexW2014335910MaRDI QIDQ1211235

Josip Globevnik, Ivan Vidav

Publication date: 1974

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(74)90030-5

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (4)

LEVEL SETS OF THE RESOLVENT NORM OF A LINEAR OPERATOR REVISITED ⋮ Remarks on the convergence of pseudospectra ⋮ The maximum principle for holomorphic operator functions ⋮ Level sets of \((p,e-p)\) outer generalized pseudo spectrum

Cites Work

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• Perturbation theory for linear operators.
• Geometry of the unit sphere of a \(C^ *\)-algebra and its dual
• Isometries of operator algebras
• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space
• SCHWARZ'S LEMMA IN NORMED LINEAR SPACES

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