Best approximation of a nonnormal operator in the trace norm

DOI10.1016/0022-247X(88)90046-7zbMath0658.47024OpenAlexW2038854031MaRDI QIDQ1111146

Richard Bouldin

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90046-7

zbMATH Keywords

conditions under which a nonnormal operator has a unique positive approximant in trace norm

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract operator algebras on Hilbert spaces (47L30) Approximation by positive operators (41A36)

Related Items

Contracting positive approximation in trace norm, Approximation by positive operators

Cites Work

• Approximation in trace norm by positive semidefinite matrices
• Approximation with restricted spectra
• Best Approximation of a Normal Operator in the Schatten p-Norm
• Spectral approximants of normal operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Essential Spectrum for a Hilbert Space Operator
• Positive Approximants
• Approximation by positive operators
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