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The discrete Hille-Yosida space and the asymptotic behaviour of individual orbits of linear operators - MaRDI portal

The discrete Hille-Yosida space and the asymptotic behaviour of individual orbits of linear operators (Q2565241)

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The discrete Hille-Yosida space and the asymptotic behaviour of individual orbits of linear operators
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    The discrete Hille-Yosida space and the asymptotic behaviour of individual orbits of linear operators (English)
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    9 March 1997
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    The authors consider the asymptotic behavior of the orbits \(\{T^{n}x : n \in {\mathbb N}\), \(x \in X\}\) for closed linear operators \(T\) on a Banach space \(X\) and generalize the Katznelson-Tzafriri and Arendt-Batty-Lubich-Vu theorem for power bounded operators.
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    discrete Hille-Yosida space
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    asymptotic behavior of the orbits
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    closed linear operators
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    power bounded operators
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    Katznelson-Tzafriri and Arendt-Batty-Lubich-Vu theorem
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