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Spectra of Cesàro and Hölder operators

✍ Scribed by I.J. Maddox; A.W. Wickstead

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
345 KB
Volume
1
Category
Article
ISSN
0019-3577

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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