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On singular numbers of τ-measurable operators

✍ Scribed by Xing-zhi Zhan

Book ID: 107482190
Publisher: Chinese Electronic Periodical Services
Year: 2004
Tongue: English
Weight: 252 KB
Volume: 8
Category: Article
ISSN: 1007-6417
DOI: 10.1007/s11741-004-0054-y

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s-numbers of measurable operators

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On Singular Integral Operators with Bounded Measurable Coefficients

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## Abstract Necessary and sufficient analytical conditions are determined for a singular integral operator of the form __aP + bQ__ with bounded measurable coefficients to be a ϕ‐operator on __L__~__p__~(Γ) for all 1 < __p__ < ∞. where Γ is a closed Lyapunov curve.

Continuity of derivations on properly in

Continuity of derivations on properly infinite*-algebras ofτ-measurable operators

✍ A. F. Ber 📂 Article 📅 2011 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 578 KB

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✍ Gerassimos Barbatis 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 304 KB

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✍ D.E. Edmunds; V.D. Stepanov 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 542 KB

A criterion for a certain class of integral operators to belong to Schatten-von Neumann symmetric normed ideals is given. In particular, when \(2 \leqslant p<\infty\), it is shown that the Schatten \(p\)-norm of such an operator can be estimated by constant multiples of an integral expression which