A functional calculus for Hermitian elements of complex Banach algebras

DOI10.1007/BF01223945zbMath0364.46039MaRDI QIDQ1240883

Heinz Koenig

Publication date: 1977

Published in: Archiv der Mathematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) General theory of (C^*)-algebras (46L05) General theory of topological algebras (46H05) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items

Dissipative operators on Banach spaces ⋮ On the functional-calculus of non-quasianalytic groups of operators and cosine functions ⋮ Polynomials in a hermitian element ⋮ On the norm and spectral radius of Hermitian elements ⋮ Concentration of \(L^p\)-bandlimited functions on discrete sets ⋮ Functional calculus of Hermitian elements and Bernstein inequalities ⋮ On some classes of generalized spectral operators ⋮ Differential inequalities in Banach spaces of entire functions. I

Cites Work

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• Eine Erweiterung des Funktionalkalküls für lineare Operatoren
• Classification of Operators by Means of Their Operational Calculus
• The Norm of a Hermitian Element in a Banach Algebra