Titlebook: Spectral Theory of Self-Adjoint Operators in Hilbert Space; M. S. Birman,M. Z. Solomjak Book 1987 D. Reidel Publishing Company, Dordrecht,

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0169-6378 he answers. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father ‘The Hermit Clad in Crane Feathers‘ in R. Brown ‘The point of a Pin‘. van Gulik‘s The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and tex

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Functional Model and the Unitary Invariants of Self-adjoint Operators,unitary invariants of a spectral measure. Multiplication operators on direct integrals of Hilbert spaces play an important role in what follows. Sections 1–2 are devoted to the construction of the direct integral and to the study of multiplication operators on it. In Sections 3–4 we show how an arbi

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Classes of Compact Operators, This expansion is just the spectral theorem for such operators. For an arbitrary operator of class S. the spectral analysis, clearly, cannot be exhausting. For example, the simplest integral Volterra operator (.)(.) . . .(τ)d τ on L.(0, 1) has no eigen-values at all (it satisfies .(.) = .(.). {0}).