A function model and some problems in the spectral theory of functions
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Publication:1116063
zbMath0665.47007MaRDI QIDQ1116063
Nikolai Nikolski, Sergei Khrushchev
Publication date: 1988
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
spectral analysisspectral synthesisinterpolation problemsHilbert space geometrystructure of Hilbert space operators
Approximation in the complex plane (30E10) Moment problems and interpolation problems in the complex plane (30E05) Canonical models for contractions and nonselfadjoint linear operators (47A45) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)
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On \(A\)-integrability of the spectral shift function of unitary operators arising in the Lax-Phillips scattering theory ⋮ Controllability up to renormalization and small control operators ⋮ On a general approach to construction of a self-adjoint dilation for a dissipative operator ⋮ Boris Pavlov and bases, as I remember them ⋮ Norm controlled inversions and a corona theorem for \(H^\infty \)-quotient algebras ⋮ The stable rank of the algebra \(H^ \infty\) equals 1 ⋮ Linear resolvent growth of rank one perturbation of a unitary operator does not imply its similarity to a normal operator. ⋮ Spectral theory of rank one perturbations of normal compact operators
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