David Seifert

activity

20142022

most citedOptimal rates of decay for operator semigroups on Hilbert spaces

81 citations · 350 across the 28 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.FA2014★ 8 cited

A Katznelson-Tzafriri theorem for measures

David Seifert

This article generalises the well-known Katznelson-Tzafriri theorem for a $C_{0}$ -semigroup $T$ on a Banach space $X$ , by removing the assumption that a certain measure in the origin…

math.FA2014★ 19 cited

Rates of decay in the classical Katznelson-Tzafriri theorem

David Seifert

Given a power-bounded operator $T$ , the theorem of Katznelson and Tzafriri states that $∥ T^{n} (I - T) ∥ \to 0$ as $n \to \infty$ if and only if the spectrum $σ (T)$ of $T$ intersects the u…

math.FA2014★ 6 cited

Some improvements of the Katznelson-Tzafriri theorem on Hilbert space

David Seifert

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…