Metric entropy conditions for an operator to be of trace class
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- by José M. González-Barrios and Richard M. Dudley PDF
- Proc. Amer. Math. Soc. 118 (1993), 175-180 Request permission
Abstract:
Let $A$ be an operator from one Hilbert space $H$ into another. It was known that $A$ is of trace class if and only if the metric entropy of $A(B)$ is integrable where $B$ is the unit ball in $H$. We give a new, general sufficient condition for an integral operator to be of trace class, and examples showing it is sharp but not necessary.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 175-180
- MSC: Primary 47B10; Secondary 47G10, 60B11, 60G15, 60G17
- DOI: https://doi.org/10.1090/S0002-9939-1993-1145418-3
- MathSciNet review: 1145418