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Entropy Number of Diagonal Operator

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Document pages: 8 pages

Abstract: In this paper, the entropy number of diagonal operator is discussed. On the one hand, the order of entropy number of the finite dimensional diagonal operator Dm:  (1≤q<p≤∞) is estimated. On the other hand, the order of entropy number of a class of infinite dimensional diagonal operator D: lp→lq(1≤q<p≤∞) is estimated.

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