Results 281 to 290 of about 392,532 (306)

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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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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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.
Eberle H., Leymann F., Schleicher D., Schumm D., Unger T.   +4 more
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UNIFORMLY BOUNDED COMPOSITION OPERATORS

Bulletin of the Australian Mathematical Society, 2015
We prove that if a uniformly bounded (or equidistantly uniformly bounded) Nemytskij operator maps the space of functions of bounded ${\it\varphi}$-variation with weight function in the sense of Riesz into another space of that type (with the same weight function) and its generator is continuous with respect to the second variable, then this generator ...
Głazowska, Dorota, Matkowski, Janusz
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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clifford, John H., Le, Trieu, Wiggins, Alan   +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, David Levi, Sivaram K. Narayan   +2 more
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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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Algebraic composition operators

Integral Equations and Operator Theory, 1992
Let \(F(X)\) be a linear space of complex valued functions on a set \(X\). Any self-map \(b:X\to X\) defines the automorphism \(C_ b: F(X)\to F(X)\) where \(C_ b u(x):= u(b(x))\). The paper deals with the following problem: For a given \(F(X)\) and a polynomial \(P(z)=z^ n+ p_{n-1}z^{n-1}+ \cdots+p_ 0\) is there a self-map \(b:X\to X\) such that: (i) \(
Böttcher, Albrecht, Heidler, Harald
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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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