An inequality concerning the growth bound of a discrete evolution family on a complex Banach space

作者：Buse Constantin^*; O'Regan Donal; Saierli Olivia

来源：Journal of Difference Equations and Applications, 2016, 22(7): 904-912.

DOI：10.1080/10236198.2016.1162160

• Uniform exponential stability
• growth bounds
• exponentially bounded evolution families of operators
• convolution operator on sequence spaces

We prove that the uniform growth bound omega(0)(U) of a discrete evolution family U of bounded linear operators acting on a complex Banach space X satisfies the inequality
omega(0)(U)c(U)(X) <= -1;
here c(U)(X) is the operator norm of a convolution operator which acts on a certain Banach space X of X-valued sequences.

• 出版日期2016