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

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    Date
    2016-03-21
    Author
    Buşe, Constantin
    O’Regan, Donal
    Saierli, Olivia
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    Cited 4 times in Scopus (view citations)
    
    Recommended 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
    Published Version
    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) <= -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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