Weighted shift operators on Köthe spaces | Zendy

Maldonado M. | Zendy; Prada J. | Zendy

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Weighted shift operators on Köthe spaces

Author(s) -

Maldonado M.,

Prada J.

Publication year - 2006

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310355

Subject(s) - mathematics , shift operator , invariant (physics) , operator (biology) , finite rank operator , quasinormal operator , operator theory , pure mathematics , compact operator , discrete mathematics , banach space , mathematical physics , computer science , extension (predicate logic) , biochemistry , repressor , transcription factor , gene , programming language , chemistry

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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