Results 1 to 10 of about 2,795,486 (292)

Commutators of composition operators with adjoints of composition operators on the ball

Complex Variables and Elliptic Equations, 2015
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.
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A model for composable composition operators

Proceedings of the 9th International Conference on Aspect-Oriented Software Development, 2010
A considerable amount of research, especially within the OO and AOSD communities, has focused on understanding the potential and limitations of various composition techniques. This has led to a large amount of proposals for alternative composition techniques, including many variations of message dispatch, inheritance, and aspect mechanisms.
Havinga, Wilke, Bergmans, Lodewijk, Akşit, Mehmet   +2 more
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Composition operators on potential spaces

Proceedings of the American Mathematical Society, 1992
By a result of B. Dahlberg, the composition operators T H
Adams, David R., Frazier, Michael
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Operator regularization and composite operators

Canadian Journal of Physics, 1990
We demonstrate how operator regularization can be used to compute radiative corrections to Green's functions involving composite operators. No divergences are encountered and no symmetry-breaking regulating parameter need be introduced into the initial Lagrangian.
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Composition operators on f-algebras

Positivity, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abid, R., Ben Amor, Mohamed Amine, Boulabiar, Karim   +2 more
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Essential Norms of Composition Operators

Integral Equations and Operator Theory, 2004
Recently, there has been considerable interest in studying lower and upper estimates for the essential norms of composition operators in function spaces. Sometimes, as a consequence, a necessary and sufficient condition for the composition operator to be compact on the function space can be obtained.
Gorkin, Pamela, MacCluer, Barbara D.
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The Norms of Compositions of Arithmetic Operators

Bulletin of the London Mathematical Society, 1987
Weighted inequalities which widely generalize the Turán-Kubilius inequality are established. The following is typical: Let w(m) be a non- negative real-valued arithmetic function which satisfies w(q) \(\ll 1\), w(qm) \(\ll w(q)w(m)\) uniformly for prime-powers q and positive integers m, \((q,m)=1\).
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Operational and compositional semantics of synchronous automaton compositions

2006
The state/transition paradigm has been used extensively for the description of event-driven, parallel systems. However, the lack for hierarchic structure in such descriptions usually prevents us from using this paradigm in a real programming language. We propose the Argos language for reactive systems. The basic components of a program are input/output-
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Co-Rank of a Composition Operator

Canadian Mathematical Bulletin, 1986
AbstractA composition operator CT on L2(X, Σ,m) is a bounded linear transformation induced by a mapping T : X → X via CTf = f∘ T.If m has no atoms then the co-rank of CT (i.e., dim is either zero or infinite. As a corollary, when m has no atoms, CT is a Fredholm operator iff it is invertible.
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Power Bounded Composition Operators

Computational Methods and Function Theory, 2011
The author analyzes the notions of power boundedness and mean ergodicity for composition operators \(C_\phi\) acting on weighted Bergman spaces of infinite order \(H^\infty_v\). Recall that a bounded operator \(T:X\to X\) is called power-bounded whenever \(\sup_{n\in \mathbb N} \|T^n\|
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