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Composition operator on $l\sp{p}$ and its adjoint [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
Let ϕ \phi be holomorphic and map the open unit disk into itself, and let C ϕ : f → f ∘ ϕ {C_\phi }:f \to f \circ \phi be the composition operator on H 2 {H^2} generated ...
R. K. Singh, B. Komal
semanticscholar   +2 more sources

Compact composition operators [PDF]

open access: bronzeJournal of the Australian Mathematical Society, 1979
AbstractLet (Хζ,λ) be a σ-finite measure space, and let ϕ be a non-singular measurable transformation from X into itself. Then a composition transformation Cϕ on L2(λ) is defined by Cϕf = f ∘ ϕ. If Cϕ is a bounded operator, then it is called a composition operator.
Raj Singh, Ashok Kumar
openalex   +3 more sources

Spectrum of a composition operator [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
A composition operator is a linear operator induced on a subspace of K X {K^X} by a point transformation ϕ \phi on a set X (where K denotes the scalar field) by the formula T f ( x ) = f ∘ ϕ ( x )
William C. Ridge
semanticscholar   +2 more sources

The Essential Norm of a Bloch-to-Qp Composition Operator [PDF]

open access: bronzeCanadian mathematical bulletin, 2004
Mikael Lindström   +2 more
openalex   +2 more sources

Cyclic Composition operators on Segal-Bargmann space

open access: yesConcrete Operators, 2022
We study the cyclic, supercyclic and hypercyclic properties of a composition operator Cϕ on the Segal-Bargmann space ℋ(ℰ), where ϕ(z) = Az + b, A is a bounded linear operator on ℰ, b ∈ ℰ with ||A|| ⩽ 1 and A*b belongs to the range of (I – A*A)½ ...
Ramesh G.   +2 more
doaj   +1 more source

soft sets, soft rough sets, soft pre-rough sets, information system, decision making

open access: yesAIMS Mathematics, 2023
For any real $ \beta $ let $ H^2_\beta $ be the Hardy-Sobolev space on the unit disc $ {\mathbb D} $. $ H^2_\beta $ is a reproducing kernel Hilbert space and its reproducing kernel is bounded when $ \beta > 1/2 $.
Li He
doaj   +1 more source

Approximation and entropy numbers of composition operators

open access: yesConcrete Operators, 2020
We give a survey on approximation numbers of composition operators on the Hardy space, on the disk and on the polydisk, and add corresponding new results on their entropy numbers, revealing how they are different.
Li Daniel   +2 more
doaj   +1 more source

Hypercyclicity of Composition Operators on Orlicz Function Spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
doaj   +1 more source

Product Type Operators Involving Radial Derivative Operator Acting between Some Analytic Function Spaces

open access: yesMathematics, 2021
Let N denote the set of all positive integers and N0=N∪{0}. For m∈N, let Bm={z∈Cm:|z|
Manisha Devi   +2 more
doaj   +1 more source

Composition operators [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1978
A study of centered composition operators on l2 is made in this paper. Also the spectrum of surjective composition operators is computed. A necessary and sufficient condition is obtained for the closed unit disc to be the spectrum of a surjective composition operator.
Singh, R. K., Komal, B. S.
openaire   +2 more sources

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