On some Properties of Composition Operators
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
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15 صفحه اولSome Properties of Composition Operators on Weighted Hardy Spaces
Let φ be an analytic map of unit disk D into itself, consider the composition operator Cφ defined by Cφ(f) = f◦φ whenever f is analytic on D. In this paper, we discuss necessary and sufficient conditions under which a composition operator on a large class of weighted Hardy spaces is a compact.
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In this paper we investigate composition operators induced on the Dirichlet space by linear fractional maps. We characterize the essential normality in this setting, obtain conditions for the linear fractional symbols φ and ψ of the unit disc for which CφC∗ ψ or C ∗ ψCφ is compact, and investigate the shape of the numerical range for linear fractional composition operators induced on the Dirich...
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We characterize the spectrum and essential spectrum of “essentially linear fractional” composition operators acting on the Hardy space H2(U) of the open unit disc U. When the symbols of these composition operators have Denjoy-Wolff point on the unit circle, the spectrum and essential spectrum coincide. Our work permits us to describe the spectrum and essential spectrum of certain associated wei...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1974
ISSN: 0022-2518
DOI: 10.1512/iumj.1975.24.24018