Singular parts of contractive analytic operator functions

DOI10.1007/BF01463183zbMath0666.47011MaRDI QIDQ1116432

Yu. P. Ginzburg, A. A. Tarasenko

Publication date: 1989

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

thinsingular partweak contractioncompletely nonunitary contradictionholomorphic functions whose values are contractions on a separable Hilbert space

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Cites Work

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• Operators with resolvent of bounded characteristic
• Spectral measures and duality of spectral subspaces of contractions with slowly growing resolvent
• A characterization of zero sets for \(A^ \infty\)
• On the fundamental geometrical properties of linearly measurable plane sets of points. II

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