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Weighted shift operators on Köthe spaces

✍ Scribed by M. Maldonado; J. Prada

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
151 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In the context of Köthe spaces we consider a weighted shift operator, the so‐called generalized integration operator J~λ~ and the linear continuous operators T that commute with it (shift‐invariant operators); under certain conditions the shift‐invariant isomorphisms are characterized, extending known results for spaces of analytic functions. Besides a sufficient condition for an operator P , commuting with a shift‐invariant operator T , to commute with J~λ~ is given. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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