Unconditionally convergent spectral decompositions and interpolation problems

zbMath0438.47039MaRDI QIDQ1141894

Vasily I. Vasyunin

Publication date: 1978

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral decompositionsbases of spectral subspacesinterpolation problems in Hardy classesSz.-Nagy-Foias model

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Moment problems and interpolation problems in the complex plane (30E05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Canonical models for contractions and nonselfadjoint linear operators (47A45) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

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A sufficient condition for the similarity of a polynomially bounded operator to a contraction ⋮ Free interpolation of germs of analytic functions in Hardy spaces ⋮ Geometric conditions for multiple sampling and interpolation in the Fock space ⋮ Weak embedding property, inner functions and entropy ⋮ From \(\mathcal{H}^\infty\) to \(\mathcal{N}\). Pointwise properties and algebraic structure in the Nevanlinna class ⋮ Multiple sampling and interpolation in Bergman spaces ⋮ Generalized Carleson-Newman inner functions ⋮ The Corona property in Nevanlinna quotient algebras and interpolating sequences ⋮ A Piece of Victor Katsnelson’s Mathematical Biography

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