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Invertible Composition Operators: The Product of a Composition Operator with the Adjoint of a Composition Operator [PDF]

Complex Analysis and Operator Theory, 2014
In this paper, we study the product of a composition operator $$C_{\varphi }$$ with the adjoint of a composition operator $$C^{*}_ ...
John Clifford, Alan D. Wiggins, Trieu Le
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Complex symmetric composition operators induced by linear fractional maps

Indiana University Mathematics Journal, 2020
In this paper we give the answers to two open questions on complex symmetric composition operators. By doing this, we give a complete description of complex symmetric composition operators whose symbols are linear fractional.
Yongxin Gao, Ze‐hua Zhou
semanticscholar   +1 more source

Commutator of composition operators with adjoints of composition operators

Complex Variables and Elliptic Equations, 2012
We characterize the compactness of the linear fractionally induced commutator in terms of the function theoretic properties of ϕ and ψ. We show that in the automorphic case the commutator is compact if and only if ϕ and ψ are simple rotations of the unit disc.
John Clifford, Sivaram K. Narayan, David Levi   +2 more
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Commutators of composition operators with adjoints of composition operators on the ball

Complex Variables and Elliptic Equations, 2016
In this paper, we investigate compactness of the commutator on the Hardy space or the weighted Bergman space (), when and are automorphisms of the unit ball . We obtain that is compact if and only if both and are unitary and they commute. This generalizes the corresponding result in one variable. Moreover, our technique is different and simple.
Liangying Jiang
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A class of weighted composition operators on the Fock space

Complex Variables and Elliptic Equations, 2019
By applying reproducing kernel techniques, a class of weighted composition operators on the Fock space, which are unitarily equivalent to nonzero constant multiple of composition operators, are characterized completely.
Lixia Feng, Liankuo Zhao
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Composition Operators on Spaces of Analytic Functions

, 1995
Introduction Analysis Background A Menagerie of Spaces Some Theorems on Integration Geometric Function Theory in the Disk Iteration of Functions in the Disk The Automorphisms of the Ball Julia-Caratheodory Theory in the Ball Norms Boundedness in ...
Helga Barbara Isselhard Mynott
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POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES

Journal of the Australian Mathematical Society, 2019
We study the asymptotic behaviour of the powers of a composition operator on various Banach spaces of holomorphic functions on the disc, namely, standard weighted Bergman spaces (finite and infinite order), Bloch space, little Bloch space, Bloch-type ...
W. Arendt, I. Chalendar, M. Kumar, S. Srivastava   +3 more
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Unbounded Weighted Composition Operators on Fock space

Potential Analysis, 2018
In this paper, we consider unbounded weighted composition operators acting on Fock space, and investigate some important properties of these operators, such as C $\mathcal {C}$ -selfadjoint (with respect to weighted composition conjugations), Hermitian ...
P. V. Hai
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Operations and compositions in transrecursive operators

Cybernetics and Systems Analysis, 1994
The present study is a continuation of a study focusing on introduction and analysis of operations on transrecursive operators, which are similar to the operators considered in the theory of algorithms. Such operations may be standard product of algorithms) or special ({alpha}-disjunction and {alpha}-iteration. In some respects, these operations in the
Mark Burgin, Yu. M. Borodyanskii
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Complex symmetry of weighted composition operators in several variables

, 2016
In this paper, we investigate analytic symbols ψ and φ when the weighted composition operator Cψ,φ is complex symmetric on general function space Hs. As applications, we characterize completely the compactness, normality and isometry of complex symmetric
Maofa Wang, Xingxing Yao
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