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Time regularity and functions of the Volterra operator

100%

Léka Z.

Studia Mathematica

2014

tom 220

nr 1

1-14

Our aim is to prove that for any fixed 1/2 < α < 1 there exists a Hilbert space contraction T such that σ(T) = {1} and $||T^{n + 1} - Tⁿ|| ≍ (n ≥ 1)$. This answers Zemánek's question on the time regularity property.

Representations with regular norm-behaviour of locally compact abelian semigroups

63%

Kérchy L., Léka Z.

Studia Mathematica

2007

tom 183

nr 2

143-160

We prove that some regularity conditions on unbounded representations of topological abelian semigroups with countable spectral conditions induce a certain stability result extending the well-known Arendt-Batty-Lyubich-Vũ theorem.

Ograniczanie wyników

2 Studia Mathematica

2 Léka Z.

1 Kérchy L.

1 2014

1 2007

Wyniki wyszukiwania

Time regularity and functions of the Volterra operator

Representations with regular norm-behaviour of locally compact abelian semigroups