Essential normality for certain finite linear combinations of linear-fractional composition operators on the Hardy space H 2
نویسندگان
چکیده
منابع مشابه
Spectrum and essential spectrum of linear combinations of composition operators on the Hardy space H2
Let -----. For an analytic self-map --- of --- , Let --- be the composition operator with composite map --- so that ----. Let --- be a bounded analytic function on --- . The weighted composition operator --- is defined by --- . Suppose that --- is the Hardy space, consisting of all analytic functions defined on --- , whose Maclaurin cofficients are square summable. .....
متن کاملLinear Fractional Composition Operators on H 2
If φ is an analytic function mapping the unit disk D into itself, the composition operator Cφ is the operator on H 2 given by Cφf = f ◦φ. The structure of the composition operator Cφ is usually complex, even if the function φ is fairly simple. In this paper, we consider composition operators whose symbol φ is a linear fractional transformation mapping the disk into itself. That is, we will assu...
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چکیده ندارد.
15 صفحه اولNorms of Linear-fractional Composition Operators
We obtain a representation for the norm of the composition operator Cφ on the Hardy space H 2 whenever φ is a linear-fractional mapping of the form φ(z) = b/(cz + d). The representation shows that, for such mappings φ, the norm of Cφ always exceeds the essential norm of Cφ. Moreover, it shows that a formula obtained by Cowen for the norms of composition operators induced by mappings of the form...
متن کاملNorms of Composition Operators on the Hardy Space
Research supported in part by National Science Foundation grant DMS-9401206. Appel and Thrall were supported by the Foundation's REU program for work they performed as undergraduate assistants to Bourdon. We show that the norm of a composition operator on the classical Hardy space H2 cannot be computed using only the set of H2 reproducing kernels, answering a question raised by Cowen and MacCluer.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2012
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-012-0073-y