The spectral theorem in Banach algebras

DOI10.1017/S0017089500035758zbMath0257.46045OpenAlexW2075254565MaRDI QIDQ5673403

Stephen Plafker

Publication date: 1972

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500035758

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General theory of topological algebras (46H05) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Structure, classification of topological algebras (46H20) Linear operators in algebras (47C05)

Cites Work

• Unnamed Item
• Geometrical properties of the unit sphere of Banach algebras
• Eine metrische Kennzeichnung der selbstadjungierten Operatoren
• The relations between a spectral operator and its scalar part
• Generalized spectral operators on locally convex spaces
• Unitary operators in Banach spaces
• A characterization of scalar type operators on reflexive Banach spaces
• Spectral operators
• Commuting spectral measures on Hilbert space
• A survey of the theory of spectral operators
• Semi-Inner-Product Spaces
• Classification of Operators by Means of Their Operational Calculus
• Characterizations of 𝐶*-algebras
• Unbounded Normal Operators on Banach Spaces
• Hermitian Projections and Orthogonality in Banach Spaces

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