A Note on the Spectral Mapping Theorem

In this note we point out how a theorem of Gamelin and Garnett from function theory can be used to establish a spectral mapping theorem for an arbitrary contraction and an associated class of $H^{\infty}$-functions.

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Bibliographic Details
Published inKyungpook mathematical journal Vol. 47; no. 1; pp. 77 - 79
Main Authors Jung, Il Bong, Ko, Eungil, Pearcy, Carl
Format Journal Article
LanguageKorean
Published 2007
Subjects
functional calculus
spectral mapping theorem
contraction
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Summary:In this note we point out how a theorem of Gamelin and Garnett from function theory can be used to establish a spectral mapping theorem for an arbitrary contraction and an associated class of $H^{\infty}$-functions.
Bibliography:KISTI1.1003/JNL.JAKO200736135723643
ISSN:1225-6951
0454-8124