Eine Funktionalgleichung für operatorwertige Funktionen

DOI10.1007/BF01564850zbMath0455.47012OpenAlexW380507474MaRDI QIDQ1150136

Wolfgang Sander

Publication date: 1981

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178035

zbMATH Keywords

generalized operator valued Cauchy equationmeasurability implies continuity

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Equations involving linear operators, with operator unknowns (47A62) Implicit function theorems, Jacobians, transformations with several variables (26B10) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (2)

Regularity properties of functional equations and inequalities ⋮ Some functional inequalities

Cites Work

• Suboperative functions and semigroups of operators
• Verallgemeinerungen eines Satzes von H. Steinhaus
• The generalized Cauchy equation for operator-valued functions
• A generalization of Steinhaus' theorem to coordinatewise measure preserving binary transformations
• On One-Parameter Semi-Groups of Linear Transformations
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