When is an operator the integral of a given spectral measure
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Publication:1220682
DOI10.1016/0022-1236(76)90031-8zbMath0314.43001OpenAlexW2073599364MaRDI QIDQ1220682
Publication date: 1976
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(76)90031-8
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Measures on groups and semigroups, etc. (43A05)
Related Items (6)
Spectral theory of magnetic Berezin transforms on the complex projective space ⋮ A pointwise spectrum and representation of operators ⋮ Non-negative spectral measures and representations of \(C^\ast\)-algebras ⋮ Operators as spectral integrals of operator-valued functions from the study of multivariate stationary stochastic processes ⋮ Spectral integrals of operator-valued functions. II: From the study of stationary processes ⋮ Unbounded operators generated by a given spectral measure
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