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Eigenvalue distribution of integral operators defined by Orlicz kernels. (English) Zbl 0929.46018

The author formulates results for the interpolation of vector-valued \(\ell_p\)- and Besov-sequence spaces using results of Fernandez-Garcia to get Orlicz-type sequence spaces. This is applied to eigenvalue estimates of generalized Schatten classes.
Reviewer: H.König (Kiel)

MSC:

46B20 Geometry and structure of normed linear spaces
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
46B45 Banach sequence spaces
46B70 Interpolation between normed linear spaces
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