Spectral representations for unbounded operators with real spectrum

DOI10.1007/BF01462881zbMath0632.47030MaRDI QIDQ1095378

Rhonda J. Hughes, Shmuel Kantorovitz

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164479

zbMATH Keywords

abstract Cauchy problemunbounded operatorreal spectrumspectral measuresemisimplicity manifoldU-spectrality

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (3)

On the second order Cauchy problem associated with a linear operator ⋮ Periodic groups of operators in Banach spaces ⋮ Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

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• A note on the spectral theorem
• Spectral theory of Banach space operators. \(C_ k\)-classification, abstract Volterra operators, similarity, spectrality, local spectral analysis
• Spectrality criteria for unbounded operators with real spectrum
• Cauchy problems involving non-selfadjoint operators
• The Semi-Simplicity Manifold of Arbitrary Operators

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