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

Buşe, Constantin; O’Regan, Donal; Saierli, Olivia

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2016-03-21

Author

Buşe, Constantin

O’Regan, Donal

Saierli, Olivia

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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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http://arxiv.org/pdf/1603.09579

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) &lt;= -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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http://hdl.handle.net/10379/10623

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