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 est...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 in finite dimensional diagonal operator D: lp→lq(1≤q<p≤∞) is estimated.展开更多
文摘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 in finite dimensional diagonal operator D: lp→lq(1≤q<p≤∞) is estimated.