Hypercyclic convolution operators on entire functions of Hilbert-Schmidt holomorphy type

DOI10.5802/ambp.145zbMath1024.47003OpenAlexW2065284794MaRDI QIDQ699494

Henrik Petersson

Publication date: 12 November 2002

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2001__8_2_107_0

zbMATH Keywords

Hilbert spacehypercyclicexponential typecontinuous convolution operatorsspace of entire functions of Hilbert-Schmidt type

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Linear operators on function spaces (general) (47B38) Spaces of linear operators; topological tensor products; approximation properties (46A32) Rings and algebras of continuous, differentiable or analytic functions (46E25) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Hypercyclic convolution operators on Fréchet spaces of analytic functions, Hypercyclicité d'opérateurs de convolution sur des espaces de fonctions entières, Strongly mixing convolution operators on Fréchet spaces of holomorphic functions, The Hilbert-Schmidt analyticity associated with infinite-dimensional unitary groups, Paley-Wiener isomorphism over infinite-dimensional unitary groups, Interpolation spaces for PDE-preserving projectors on Hilbert-Schmidt entire functions, Hypercyclic subspaces for Fréchet space operators, Dynamics of non-convolution operators and holomorphy types, On algebras of holomorphic functions of a given type, Strongly mixing convolution operators on Fréchet spaces of entire functions of a given type and order

Cites Work

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• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Operators with dense, invariant, cyclic vector manifolds
• The invariant subspace problem for a class of Banach spaces. II: Hypercyclic operators
• Sequences of derivatives and normal families
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Universal families and hypercyclic operators
• FISCHER DECOMPOSITIONS OF ENTIRE FUNCTIONS OF HILBERT–SCHMIDT HOLOMORPHY TYPE
• Partial differential equations in Fischer-Fock spaces for the Hilbert-Schmidt holomorphy type