Cyclic vectors in the Fock space over the complex plane

DOI10.1090/S0002-9939-05-07938-4zbMath1087.46021MaRDI QIDQ5313345

Kou Hei Izuchi

Publication date: 29 August 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fock spacecyclic vectors

Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (9)

Complex symmetric \(C_{0}\)-semigroups on the Fock space ⋮ Complex symmetric differential operators on Fock space ⋮ Cyclic vectors in Fock-type spaces in multi-variable case ⋮ Criterion of weak invertibility in weighted \(L^p\) spaces of entire Fock-type functions ⋮ Cyclic vectors in Fock-type spaces of single variable ⋮ Complex symmetry of generalized weighted composition operators on Fock space ⋮ Convex-cyclic weighted composition operators and their adjoints ⋮ Complex symmetric evolution equations ⋮ Unbounded weighted composition operators on Fock space

Cites Work

• Analytic Hilbert spaces over the complex plane
• A Beurling-type theorem for the Fock space
• Invariant subspaces, quasi-invariant subspaces, and Hankel operators.
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