Entropy Number of Diagonal Operator

摘要

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 D _(m):? (1≤q<p≤∞) is estimated. On the other hand, the order of entropy number of a class of in finite dimensional diagonal operator D : l _(p)→l _(q)(1≤q<p≤∞) is estimated.