Publication: Entropy and Lorentz-Marcinkiewicz Operator Ideals
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Publication Date
1987
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Inst Mittag Leffler
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Abstract
The paper deals with ideals of operators for which the sequence of their entropy numbers(en(T)) belongs to a Lorentz-Marcinkiewicz space `,q, where is a so-called function parameter. In the case (t) = tp the classical Lorentz space `p,q results. These ideals are compared with that obtained from the approximation, Gelfand and Kolmogorov
numbers. The author further proves interpolation theorems and results about eigenvalue
distributions.