An inequality concerning the growth bound of a discrete evolution family on a complex banach space
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2016-03-21Metadata
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Buşe, Constantin; O’Regan, Donal; Saierli, Olivia (2016). An inequality concerning the growth bound of a discrete evolution family on a complex banach space. Journal of Difference Equations and Applications 22 (7), 904-912
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Abstract
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.