Orthogonal and skew-symmetric operators in real Hilbert space

DOI10.1007/s00020-012-1999-zzbMath1277.47022OpenAlexW2094566532MaRDI QIDQ1946570

Albrecht Pietsch, Albrecht Böttcher

Publication date: 15 April 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-1999-z

zbMATH Keywords

operator idealsreal Hilbert spacesorthogonal operatorstrace theoryskew-symmetric operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Structure theory of linear operators (47A65)

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Quadratic-exponential functionals of Gaussian quantum processes, A new view at Dixmier traces on \(\mathfrak{L}_{1,\infty} (H)\), Traces and symmetric linear forms, Real operator algebras and real positive maps, Traces of Hilbert space operators and their recent history, Traces on operator ideals and related linear forms on sequence ideals. II

Cites Work

• Convex combinations of unitary operators in von Neumann algebras
• On commutators in ideals of compact operators
• Normed algebras
• Commutators of compact operators.
• Additive Decomposition of Real Matrices
• Traces on operator ideals and arithmetic means
• Commutators of Operators
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