Geodesic
Time regularity and functions of the Volterra operator
Zoltán Léka1
1 Department of Mathematics Ben Gurion University of the Negev P.O.B. 653 Beer Sheva 84105, Israel and Alfréd Rényi Institute of Mathematics Hungarian Academy of Sciences 13–15, Reáltanoda u. 1053 Budapest, Hungary
Studia Mathematica, Tome 220 (2014) no. 1, pp. 1-14 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Our aim is to prove that for any fixed $1/2 \alpha 1$ there exists a Hilbert space contraction $T$ such that $\sigma(T) = \{1\}$ and $$ \|T^{n+1} - T^n\| \asymp n^{-\alpha} \quad (n \geq 1). $$ This answers Zemánek's question on the time regularity property.
DOI : 10.4064/sm220-1-1
Keywords: prove fixed alpha there exists hilbert space contraction sigma asymp alpha quad geq answers zem neks question time regularity property

Zoltán Léka 1

1 Department of Mathematics Ben Gurion University of the Negev P.O.B. 653 Beer Sheva 84105, Israel and Alfréd Rényi Institute of Mathematics Hungarian Academy of Sciences 13–15, Reáltanoda u. 1053 Budapest, Hungary 
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Zoltán Léka. Time regularity and functions of the Volterra operator. Studia Mathematica, Tome 220 (2014) no. 1, pp. 1-14. doi: 10.4064/sm220-1-1

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