On chaoticity of the sum of chaotic shifts with their adjoints in Hilbert space and applications to some weighted shifts acting on some Fock-Bargmann spaces

DOI10.1007/s11785-016-0554-3zbMath1489.47013OpenAlexW1554185890MaRDI QIDQ521940

Abdelkader Intissar, Jean-Karim Intissar

Publication date: 12 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0554-3

zbMATH Keywords

analytic functionsspectral analysischaotic operatorsFock-Bargmann spacesweighted shift unbounded operatorsGelfond-Leontiev operators

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16) Bergman spaces and Fock spaces (30H20)

Related Items (3)

A note on the completeness of generalized eigenfunctions of the Hamiltonian of Reggeon field theory in Bargmann space ⋮ On regularized trace formula of Gribov semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann representation ⋮ A complete spectral analysis of generalized Gribov-Intissar's operator in Bargmann space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the chaoticity of some tensor product weighted backward shift operators acting on some tensor product Fock-Bargmann spaces
• On a chaotic weighted shift \(z^pd^{p+1}/dz^{p+1}\) of order \(p\) in Bargmann space
• Operators with dense, invariant, cyclic vector manifolds
• Étude spectrale d'une famille d'opérateurs non-symétriques intervenant dans la théorie des champs de reggeons. (Spectral theory of a family of non symmetric operators, intervening in reggeon field theory)
• Scattering analysis of the cubic Heun operator in Bargmann space
• From Bargmann representations to deformed harmonic oscillator algebras
• Hypercyclic and cyclic vectors
• Chaotic behavior of the Riesz transforms for Hermite expansions
• Pathological hypercyclic operators
• Sequences of derivatives and normal families
• Chaoticité de l'opérateur de Gribov dans l'espace de Bargmann
• On a Hilbert space of analytic functions and an associated integral transform part I
• On Devaney's Definition of Chaos
• Universal families and hypercyclic operators
• Hypercyclic and chaotic weighted shifts
• Linear Chaos in the Unforced Quantum Harmonic Oscillator
• Construction of concrete orthonormal basis for (L2, Γ, χ)-theta functions associated to discrete subgroups of rank one in $({\mathbb {C}},+)$(C,+)
• A short note on the chaoticity of a weight shift on concrete orthonormal basis associated to some Fock-Bargmann space
• Chaotic unbounded differentiation operators

This page was built for publication: On chaoticity of the sum of chaotic shifts with their adjoints in Hilbert space and applications to some weighted shifts acting on some Fock-Bargmann spaces