TITLE:
Entropy Number of Diagonal Operator
AUTHORS:
Jin Chen, Wenjing Lu, Hanyue Xiao, Yanan Wang, Xin Tan
KEYWORDS:
Entropy Number, The Finite Dimensional Diagonal Operator, The Infinite Dimensional Diagonal Operator
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.3,
March
28,
2019
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.