Some improvements of the Katznelson-Tzafriri theorem on Hilbert space
This paper extends two recent improvements in the Hilbert space setting of the well-known Katznelson-Tzafriri theorem by establishing both a version of the result valid for bounded representations of a large class of abelian semigroups and a quantified version for contractive representations. The pa...
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| Ձևաչափ: | Journal article |
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American Mathematical Society
2015
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| Ամփոփում: | This paper extends two recent improvements in the Hilbert space setting of the well-known Katznelson-Tzafriri theorem by establishing both a version of the result valid for bounded representations of a large class of abelian semigroups and a quantified version for contractive representations. The paper concludes with an outline of an improved version of the KatznelsonTzafriri theorem for individual orbits, whose validity extends even to certain unbounded representations. |
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