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Composition Operators on Weighted Banach Spaces of a Tree
Bulletin of the Malaysian Mathematical Sciences Society, 2016We study composition operators on the weighted Banach spaces of an infinite tree. We characterize the bounded and the compact operators, as well as determine the operator norm and the essential norm.
R. F. Allen, Matthew A. Pons
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Composite Operations and Reconstruction
JAMA: The Journal of the American Medical Association, 1971The 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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Composition Operators on the Discrete Analogue of Generalized Hardy Space on Homogenous Trees
, 2016In this paper, we study the basic properties such as boundedness and compactness of composition operators on discrete analogue of generalized Hardy space defined on a homogeneous rooted tree.
P. Muthukumar, S. Ponnusamy
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On the toeplitzness of composition operators [PDF]
Complex Variables and Elliptic Equations, 2007 Composition operators on H 2 cannot–except trivially–be Toeplitz, or even ‘Toeplitz plus compact’. However there are natural ways in which they can be ‘asymptotically Toeplitz’. We show here that the study of such phenomena leads to surprising results and interesting open problems. †Dedicated to Professor Peter L.
Fedor Nazarov, Joel H. Shapiro
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Eigenvalues of Adjoints of Certain Composition Operators and Weighted Composition Operators [PDF]
Integral Equations and Operator Theory, 2014 We look at the point-spectrum of the adjoints of certain composition operators on the Hardy–Hilbert space, for which the composition map has two distinguished fixed points: one inside the unit disk and one on the unit circle. In particular, we show that the point-spectrum of such operators contains a disk centered at the origin, and each eigenvalue in ...
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Algebraic composition operators [PDF]
Integral Equations and Operator Theory, 1992 The focus of this paper is on the following problem. Given a linear space F of complex-valued functions on a set X and a polynomial p(z), is there an algebraic composition operator on F whose characteristic polynomial equals p(z)? We show that the supply of all the polynomials p(z) for which the answer to this question is affirmative depends heavily on
Albrecht Böttcher, Harald Heidler
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Process Fragment Composition Operations
2010 IEEE Asia-Pacific Services Computing Conference, 2010The 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. +4 more
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Weighted composition operators on the Dirichlet space: boundedness and spectral properties
, 2015Boundedness of weighted composition operators $$W_{u,\varphi }$$Wu,φ acting on the classical Dirichlet space $$\mathcal {D}$$D as $$W_{u,\varphi }f= u\, (f\circ \varphi )$$Wu,φf=u(f∘φ) is studied in terms of the multiplier space associated to the symbol $
I. Chalendar +2 more
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Operator regularization and composite operators
Canadian Journal of Physics, 1990We 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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EXPERIENCES WITH THE COMPOSITE OPERATION [PDF]
Australian and New Zealand Journal of Surgery, 1950 Summary The technique of the composite operation is described. Its indications and limitations are considered. The results of 24 cases are reviewed.
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