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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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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.
openaire   +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 H. Clifford   +2 more
openaire   +1 more source

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
openaire   +2 more sources

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 ...
openaire   +1 more source

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