Results 1 to 10 of about 38,889 (311)

HYPERCYCLIC COMPOSITION OPERATORS

Journal of Vasyl Stefanyk Precarpathian National University, 2015
In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions.
Z.H. Mozhyrovska
doaj   +4 more sources

M-quasi-hyponormal composition operators

International Journal of Mathematics and Mathematical Sciences, 1987
A necessary and sufficient condition is obtained for M-quasi-hyponormal composition operators. It has also been proved that the class of M-quasi-hyponormal composition operators coincides with the class of M-paranormal composition operators. Existence of
Pushpa R. Suri, N. Singh
doaj   +2 more sources

Antinormal Weighted Composition Operators [PDF]

Abstract and Applied Analysis, 2016
Let l2=L2N,μ, where N is set of all positive integers and μ is the counting measure whose σ-algebra is the power set of N. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert ...
Dilip Kumar, Harish Chandra
doaj   +4 more sources

Kitai's Criterion for composition operators

Journal of Mathematical Analysis and Applications
peer reviewedWe present a general and natural framework to study the dynamics of composition operators on spaces of measurable functions, in which we then reconsider the characterizations for hypercyclic and mixing composition operators obtained by ...
Gomes, Daniel, Grosse-Erdmann, Karl
core   +5 more sources

On Composition Operators on N+(?) [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 1998
Let N(?) denote the class of analytic functions fin a domain ?, contained in the complex numbers C, such that log(1+| f |) has a harmonic majorant. The subclass N+(?) of N(?) consists of all f such that log(1+| f |) has a quasi-bounded harmonic majorant.
Mahmud Masri
doaj   +1 more source

On Composition Operators on A2 [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 1995
If (?) is an analytic function mapping the open unit disk D into itself and A2 is the Bergman space of analytic functions on D, the compositon operator C?, on A2 is defined by C?f=fo?feA2.
Mahmud Ilayyan Masri
doaj   +1 more source

Normality and Quasinormality of Specific Bounded Product of Densely Defined Composition Operators in L2 Spaces

Concrete Operators, 2022
Let (X, 𝒜, μ) be a σ−finite measure space. A transformation ϕ : X → X is non-singular if μ ∘ ϕ−1 is absolutely continuous with respect with μ. For this non-singular transformation, the composition operator Cϕ: 𝒟(Cϕ) → L2(μ) is defined by Cϕf = f ∘ ϕ, f ∈
Zhou Hang
doaj   +1 more source

Complex symmetric weighted composition operators on the Hardy space [PDF]

, 2020
summary:This paper identifies a class of complex symmetric weighted composition operators on $H^2(\mathbb {D})$ that includes both the unitary and the Hermitian weighted composition operators, as well as a class of normal weighted composition operators ...
Zhou, Ze-Hua, Jiang, Cao, Han, Shi-An
core   +1 more source

D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces

Cubo, 2020
The aim of this paper is to introduce new hyperbolic classes of functions, which will be called ${\mathcal{B}}^{*} _{\alpha,\;\log}$ and ${ F ^{*}_{\log}}(p,q,s)$ classes.
A. Kamal, T.I. Yassen
doaj   +1 more source

Composition Operators and Endomorphisms [PDF]

Complex Analysis and Operator Theory, 2010
If $b$ is an inner function, then composition with $b$ induces an endomorphism, $β$, of $L^\infty(\mathbb{T})$ that leaves $H^\infty(\mathbb{T})$ invariant. We investigate the structure of the endomorphisms of $B(L^2(\mathbb{T}))$ and $B(H^2(\mathbb{T}))$ that implement $β$ through the representations of $L^\infty(\mathbb{T})$ and $H^\infty(\mathbb{T})$
Courtney, Dennis, Muhly, Paul S., Schmidt, Samuel W.   +2 more
openaire   +2 more sources