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Showing 1 to 5 of 5 for “"Closed-range"”.
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Closed Range Composition Operators on BMOA
… tools to give a complete characterization of closed range composition operators on BMOA and on Qp for all p ∈ (0,∞). </p> <p>Let B denote the Bloch space, let H2 denote the Hardy space. We show that if Cφ is closed range on B or on H2 then it is also closed range on BMOA. Closed range …
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Closed-Range Composition Operators on Weighted Bergman Spaces and Applications
… 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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Unbound linear operators in operator ranges
… of such results by considering operator ranges (the image of a bounded operator defined everywhere on a Banach space) as well as investigating and characterizing some of the properties of operator ranges. For the sake of generality we will for the most part be considering unbounded or …
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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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Unbounded linear operators in seminormed spaces
… by a subspace, one requires the subspace to be closed in order for the quotient to be a normed space; however, in the seminormed space case the requirement that the subspace be closed is no longer necessary. Seminorms are also important in the study of certain properties of the second adjoint of …