A characterization of the norm ideals of compact operators on Hilbert space

DOI10.1016/0022-247X(75)90012-8zbMath0305.47011MaRDI QIDQ1217315

James R. Holub

Publication date: 1975

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

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) 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) Linear spaces of operators (47L05)

Related Items

On the geometry of the unit ball of unitary matrix spaces ⋮ Applications of Banach ideals of operators ⋮ Extremum characterizations of sums of eigenvalues of certain symmetrizable operators on Hilbert spaces ⋮ On the factorization of nuclear operators on Hilbert space ⋮ Fully symmetric operator spaces

Cites Work

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• Ideals of compact operators on Hilbert space
• Sur quelques applications des fonctions convexes et concaves au sens de I. Schur
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• Normed ideals of intermediate type
• Improved Error Bounds for the Eigenvalues of Certain Normal Operators
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
• A Theory of Cross-Spaces. (AM-26)
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
• An Extremum Property of Sums of Eigenvalues

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