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The spectra of composition operators on Hp

โœ Scribed by Herbert Kamowitz


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
903 KB
Volume
18
Category
Article
ISSN
0022-1236

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๐Ÿ“œ SIMILAR VOLUMES


Spectra of Some Composition Operators
โœ C.C. Cowen; B.D. Maccluer ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 817 KB

If \(\mathscr{H}\) is a Hilbert space of holomorphic functions on the unit ball \(B_{N}\) in \(\mathbf{C}^{N}\) and \(\varphi\) is a non-constant holomorphic map of the unit ball into itself, the composition operator \(C_{\varphi}\) is the operator on \(\mathscr{H}\) defined by \(C_{\varphi} f=f \ci

Isometric composition operators on the w
โœ Nizar Jaoua ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 96 KB ๐Ÿ‘ 1 views

## Abstract We investigate the composition operators on the weighted Hardy spaces __H__^2^(__ฮฒ__). For any bounded weight sequence __ฮฒ__, we give necessary conditions for those operators to be isometric. The sufficiency of those conditions is wellโ€known for the classical space __H__^2^. In the case