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

Complex Analysis and Operator Theory, 2014
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Clifford, John H.   +2 more
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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 H. Clifford   +2 more
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Compositions of Set Operations

Canadian Journal of Mathematics, 1970
The set operations under consideration are Borel operations and Souslin's operation (). With respect to a given family of sets and in a setting free of any topological structure there are defined three Borel families (Definitions 3.1) and the family of Souslin sets (Definition 4.1).
Bressler, D. W., Cayford, A. H.
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Process Fragment Composition Operations

2010 IEEE Asia-Pacific Services Computing Conference, 2010
The construction kit principle is a well-known software engineering paradigm to foster reusability. In case the construction kit principle is applied at runtime it is even a way to implement flexibility. In today’s workflow technology the construction kit principle is applied, e.g. in in hierarchical modeling approaches using sub processes.
Hanna Eberle   +4 more
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Composition Operators

2023
AbstractWe cover representative results concerning the boundedness, compactness, and spectral properties of composition operators.
Stephan Ramon Garcia   +2 more
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Event composition operators

Proceedings of the 1st ACM international workshop on Events in multimedia, 2009
Events are at least as important as objects in modeling the dynamic universe. Modeling the real world and weaving the web of events require Composite Events that are valid constitution of atomic and composite sub-events. The progress in event composition has been limited to construction of some entities and relationships in upper ontologies such as ...
Setareh Rafatirad   +2 more
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Operations and compositions in transrecursive operators

Cybernetics and Systems Analysis, 1994
Earlier, the authors introduced classes of alphabetic operators that have greater computational possibilities than classical algorithms. In Dokl. Akad. Nauk SSSR 321, No. 5, 876-879 (1991), they gave a uniform procedure for obtaining such alphabetic operators, which will be called transrecursive operators in what follows.
Burgin, M. S., Borodyanskij, Yu. M.
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Composition Operators

Canadian Journal of Mathematics, 1968
The object of this note is to report on some of the properties of a class of operators induced by inner functions. If m is normalized Lebesgue measure on the unit circle X in the complex plane and Cϕ is an inner function (a complex function on X of unit modulus almost everywhere whose Poisson integral is a non-constant holomorphic function in the open ...
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Hyponormal Composition Operators

Bulletin of the London Mathematical Society, 1986
Let (X,\(\Sigma\),m) be a complete \(\sigma\)-finite measure space, and let T be a \(\Sigma\)-measurable mapping in X such that \(m\circ T^{-1}\) is absolutely continuous with respect to m. The corresponding weighted composition operator W on \(L^ 2(X,\Sigma,m)\) generated by the weight function \(\phi\) is defined by \(Wf:=\phi f\circ T\).
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Composite Operations and Reconstruction

JAMA: The Journal of the American Medical Association, 1971
The present concept regarding defects of the head and neck that are created by cancer therapy is that they require immediate reconstruction. Prior to 1940, the majority of extensive tumors in this region were treated by radiation or cautery. Restoration of the area destroyed by invading cancer cells or therapy was delayed for six months or more.
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