Author(s)

Jin Chen^*, Wenjing Lu, Hanyue Xiao, Yanan Wang, Xin Tan

School of Science, Xihua University, Chengdu, China.

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.

Entropy Number, The Finite Dimensional Diagonal Operator, The Infinite Dimensional Diagonal Operator

Chen, J. , Lu, W. , Xiao, H. , Wang, Y. and Tan, X. (2019) Entropy Number of Diagonal Operator. Journal of Applied Mathematics and Physics, 7, 738-745. doi: 10.4236/jamp.2019.73051.