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

Buşe, Constantin
; 
O’Regan, Donal
; 
Saierli, Olivia
Identifiers
http://hdl.handle.net/10379/10623
 https://doi.org/10.13025/28521
Publication Date
2016-03-21
Keywords
uniform exponential stability, growth bounds, exponentially bounded evolution families of operators, convolution operator on sequence spaces, exponential stability, semigroup, operators, equations
Type
Article
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Citation
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
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.
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Publisher
Informa UK Limited
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)