Results 11 to 20 of about 237,939 (264)
Disjoint hypercyclic linear fractional composition operators
Journal of Mathematical Analysis and Applications, 2011 The first and the third authors are supported in part by MICINN and FEDER, Projects MTM2007-64222 and MTM2010-14909. The third author is also supported by Generalitat Valenciana, Project PROMETEO/2008/101. We thank the referees for their comments and suggestions.
Bès, J., Martin, Ö., Peris, A.
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Components of linear-fractional composition operators
Journal of Mathematical Analysis and Applications, 2003 Let \(\phi\) denote a holomorphic function on the open unit disc \(U\) in the complex plane with \(\phi(U) \subset U\). The composition operator \(C_{\phi}(f):=f \circ \phi\) is bounded in the Hardy space \(H^2\). Denote by \(\text{comp} (H^2)\) the collection of all composition operators on \(H^2\) endowed with the metric induced by the operator norm.
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Which linear-fractional composition operators are essentially normal?
Journal of Mathematical Analysis and Applications, 2003 Let \(\varphi\) be a holomorphic map of the unit circle \(\mathbb{U}\) into itself and \(C_\varphi\) the composition operator on the Hardy space \(H^2=H^2(\mathbb{U})\) defined by \(C_\varphi f(z)=f[\varphi(z)]\). This interesting paper deals with the property of the operator \(C_\varphi\) to be nontrivially essentially normal.
Bourdon, Paul S. +3 more
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Extremal non-compactness of composition operators with linear fractional symbol
Journal of Mathematical Analysis and Applications, 2006 We realize norms of most composition operators acting on the Hardy space with linear fractional symbol as roots of hypergeometric functions. This realization leads to simple necessary and sufficient conditions on the symbol to exhibit extremal non-compactness, establishes equivalence of cohyponormality and cosubnormality of composition operators with ...
Basor, Estelle L., Retsek, Dylan Q.
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Linear sums of two composition operators on the Fock space
Journal of Mathematical Analysis and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choe, Boo Rim +2 more
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Spectral representation of stochastic integration operators [PDF]
MATEC Web of Conferences, 2022 The spectral representation for stochastic integration operators with respect to the Wiener process is proposed in the form of a composition of spectral characteristics used in the spectral form of mathematical description for control systems.
Rybakov Konstantin
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Linear Combinations of Composition Operators on the Bloch Spaces [PDF]
Canadian Journal of Mathematics, 2011 Abstract We characterize the compactness of linear combinations of analytic composition operators on the Bloch space. We also study their boundedness and compactness on the little Bloch space.
Takuya Hosokawa +2 more
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Linear and Logarithmic Time Compositions of Quantum Many-Body Operators [PDF]
Physical Review Letters, 2017 We develop a generalized framework for constructing many-body-interaction operations either in linear time, or in logarithmic time with a linear number of ancilla qubits. Exact gate decompositions are given in particular for Pauli strings, many-control Toffoli gates, number-~and parity-conserving interactions, Unitary Coupled Cluster operations, and ...
Motzoi, F. +2 more
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On component-wise dissimilarity measures and metric properties in pattern recognition [PDF]
PeerJ Computer Science, 2022 In many real-world applications concerning pattern recognition techniques, it is of utmost importance the automatic learning of the most appropriate dissimilarity measure to be used in object comparison.
Enrico De Santis +2 more
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Nonlinear Spectrum and Fixed Point Index for a Class of Decomposable Operators
Mathematics, 2021 We study a class of nonlinear operators that can be written as the composition of a linear operator and a nonlinear map. We obtain results on fixed point index based on parameters that are related to the definitions of nonlinear spectra.
Shugui Kang, Yanlei Zhang, Wenying Feng
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