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Showing 1 to 16 of 16 for “"Composition operators"”.
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Closed Range Composition Operators on BMOA
… be an analytic self-map of the unit disk D. The composition operator with symbol φ is denoted by Cφ. Reverse Carleson type conditions, counting functions and sampling sets are important tools to give a complete characterization of closed range composition operators on BMOA and on Qp for all p ∈ …
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Composition operators on Banach function spaces
… thesis is to provide a survey of the topic of composition operators on spaces of (equivalence classes of) measurable functions and attempt to unify some of the most important results contained in the literature. A large class of these spaces can be equipped with norms turning them into Banach …
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Toeplitzness of Composition Operators and Parametric Toeplitzness
… of the <span>\mathbb{U}</span>-automorphic composition operators, acting on the monomial basis for $H^2(\mathbb{U})$; which is used as one of the major tools later in Chapter 3.</p><p>In Chapter 2, we introduce the class of Parametric Toepliz operators(PTOs) as the solutions to the …
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On Compactness and Closed-Rangeness of Composition Operators
<p>Let $\phi$ be an analytic self-map of the unit disk $\mathbb{D}:=\{z:\lvert z\rvert</p>
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Isometries of Besov Type Spaces among Composition Operators
… Phi, a holomorphic self map of D, we show the composition operator CPhi is an isometry on Bp,alpha if and only if the weighted composition operator WPhiPhi, is an isometry on the weighted Bergman space Ap,alpha. We then characterize isometries among composition operators in Bp,alpha in terms of …
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Closed-Range Composition Operators on Weighted Bergman Spaces and Applications
… necessary and sufficient conditions for a Composition Operator to be closed range on the weighted Bergman spaces. The function phi is an analytic self map of the unit disk and our results extend those previously intended for the classical Bergman space. We will also give applications. </p>
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Kernels of adjoints of composition operators on Hilbert spaces of analytic functions
… of results in the study of the adjoint of a composition operator and its kernel in weighted Hardy spaces, in particular, the classical Hardy, Bergman, and Dirichlet spaces. In 2006, Cowen and Gallardo-Gutiérrez laid the groundwork for an explicit formula for the adjoint of a composition …
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Semigroups of Composition Operators and the Cesaro Operator on H('p)(d) (Bergman Space, Infinitesimal Generator)
A semigroup T(,t) : t (GREATERTHEQ) 0 of composition operators on H('P)( ) arises as T(,t)(f) = f(CCIRC)(phi)(,t) where (phi)(,t) : t (GREATERTHEQ) 0 is a semigroup of analytic functions mapping the unit disk into itself. The infinitesimal
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Isometries on symmetric spaces associated with semi-finite von Neumann algebras
… can typically be characterized as weighted composition operators. In the non-commutative setting, isometries between symmetric spaces (of trace-measurable operators) can often be described in terms of a Jordan ✽-homomorphism (which may be considered a non-commutative composition operator) …
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Intertwining relations, commutativity and orbits
… commutativity up to a factor of bounded linear operators have become of great interest for Operator Theorists during the last decades. This interest comes from the relationship that exists between the study of orbits and spectral properties of linear operators on Banach spaces and the Invariant …
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Peripherally-Multiplicative Spectral Preservers Between Function Algebras
… for maps between function algebras to be composition or weighted composition operators, which extend previous results regarding spectral conditions for maps between uniform algebras. Let X and Y be a locally compact Hausdorff spaces, where A \subset C(X) and B \subset C(Y) are function …
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Peripherally-Multiplicative Spectral Preservers Between Function Algebras
… for maps between function algebras to be composition or weighted composition operators, which extend previous results regarding spectral conditions for maps between uniform algebras. Let X and Y be a locally compact Hausdorff spaces, where A \subset C(X) and B \subset C(Y) are function …
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Generalized Synchronization Trees
… natural setting for studying bisimulation and composition. In this thesis, we study both matters from a number of different perspectives: different notions of bisimulation over GSTs are defined and their (unexpected) semantic differences are established; the relationship of GSTs to behavioral, …
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Poletsky-Stessin Hardy Spaces on the Unit Disk
… spaces. Poletsky and Stessin used them to study composition operators but did not look at their detailed properties.</p> <p> In this thesis we fill this gap studying Poletsky--Stessin Hardy spaces on the unit disk $\mathbb{D}$. As in \cite{PS} for their definition we use subharmonic exhaustion …