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Spectra of Composition Operators on BMOA

✍ Scribed by M. Lindström; N. Palmberg

Publisher
SP Birkhäuser Verlag Basel
Year
2005
Tongue
English
Weight
225 KB
Volume
53
Category
Article
ISSN
0378-620X

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Isometric composition operators on BMOA
Isometric composition operators on BMOA
✍ Jussi Laitila 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 97 KB

## Abstract We characterize and provide examples of the analytic self‐maps of the unit disc, which induce isometric com‐position operators on the space __BMOA__ equipped with a Möbius invariant __H__^2^ norm (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Spectra of Some Composition Operators
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✍ C.C. Cowen; B.D. Maccluer 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 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