منابع مشابه
6 Quasi - Inner Divisors
We study divisibilities between bounded holomorphic quasi-inner functions in H∞ and operator-valued bounded holomorphic quasi-inner functions in H∞(Ω, L(K)) where Ω is a bounded finitely connected region. Furthermore, we characterize these divisibilities by using rationally-invariant subspaces.
متن کاملComposition Operators and Multiplication Operators on Orlicz Spaces
This article has no abstract.
متن کاملWhat Do Composition Operators Know about Inner Functions?
This paper gives several different ways in which operator norms characterize those composition operators Cφ that arise from holomorphic self-maps φ of the unit disc that are inner functions. The setting is the Hardy space H of the disc, and the key result is a characterization of inner functions in terms of the asymptotic behavior of the Nevanlinna counting function.
متن کاملSpectra of Some Composition Operators and Associated Weighted Composition Operators
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...
متن کاملComposition operators and natural metrics in meromorphic function classes $Q_p$
In this paper, we investigate some results on natural metrics on the $mu$-normal functions and meromorphic $Q_p$-classes. Also, these classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, compact composition operators $C_phi$ and Lipschitz continuous operators acting from $mu$-normal functions to the meromorphic $Q_p$-classes are characte...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1982
ISSN: 0022-1236
DOI: 10.1016/0022-1236(82)90032-5