Displaying similar documents to “Growth of (frequently) hypercyclic functions for differential operators”

The Voronovskaya theorem for some linear positive operators in exponential weight spaces.

Lucyna Rempulska, Mariola Skorupka (1997)

Publicacions Matemàtiques

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In this note we give the Voronovskaya theorem for some linear positive operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+∞) and having the exponential growth at infinity. Some approximation properties of these operators are given in [3], [4].

Resolvent conditions and powers of operators

Olavi Nevanlinna (2001)

Studia Mathematica

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We discuss the relation between the growth of the resolvent near the unit circle and bounds for the powers of the operator. Resolvent conditions like those of Ritt and Kreiss are combined with growth conditions measuring the resolvent as a meromorphic function.

Disjoint hypercyclic operators

Luis Bernal-González (2007)

Studia Mathematica

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We introduce the concept of disjoint hypercyclic operators. These are operators performing the approximation of any given vectors with a common subsequence of iterates applied on a common vector. The notion is extended to sequences of operators, and applied to composition operators and differential operators on spaces of analytic functions.