Zygmund's theorem and the boundary behavior of operator \(R\)-functions

DOI10.1007/BF02509510zbMath0901.47010OpenAlexW2059038899MaRDI QIDQ1357914

S. N. Nakobo

Publication date: 25 June 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02509510

zbMATH Keywords

selfadjoint operatorSchatten classduals of the Lorentz classesMarcinkiewicz classesoperator \(R\)-functionsoperator analog scalar Zygmund theorem failsZygmund condition

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Functional calculus for linear operators (47A60)

Cites Work

• Unnamed Item
• Uniqueness theorems for operator-valued functions with positive imaginary part, and the singular spectrum in the selfadjoint Friedrichs model
• Description of contraction operators which are similar to unitary operators

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