Results 301 to 310 of about 4,199,505 (352)

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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Dynamic Mode Decomposition for Continuous Time Systems with the Liouville Operator

Journal of nonlinear science, 2019
Dynamic mode decomposition (DMD) has become synonymous with the Koopman operator, where continuous time dynamics are discretized and examined using Koopman (i.e. composition) operators.
Joel A. Rosenfeld, R. Kamalapurkar, L. Gruss, Taylor T. Johnson   +3 more
semanticscholar   +1 more source

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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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, Amarnath Gupta, Ramesh Jain   +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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Eigenvalues of Adjoints of Certain Composition Operators and Weighted Composition Operators

Integral Equations and Operator Theory, 2014
The paper is concerned with the spectral theory of composition operators on the Hardy space \(H^2\) of the unit disk. The author proves that, under certain conditions on the symbol \(\varphi \) (involving in particular fixed points), the point-spectrum of the adjoint \(C_\varphi^*\) of \(C_\varphi\) contains a disk centered at the origin.
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GEOMETRIC QUANTITIES OF COMPOSITION OPERATORS

Far East Journal of Mathematical Sciences (FJMS), 2017
Summary: In this paper, we investigate geometric quantities of composition operators associated with various subclasses of univalent functions in the unit disk. We also consider applications of the quantities.
Kim, Yong Chan, Choi, Jae Ho
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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 potential spaces

Proceedings of the American Mathematical Society, 1992
By a result of B. Dahlberg, the composition operators T H f = H ∘ f {T_H}f = H \circ f need not be bounded on some of the Sobolev spaces (or spaces of Bessel potentials) even for very smooth functions H = H
Adams, David R., Frazier, Michael
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