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SIMPLE MULTIPLIERS ON BANACH MODULES

Published online by Cambridge University Press:  31 July 2003

JANKO BRAČIČ
JANKO BRAČIČ
Affiliation:
University of Ljubljana, IMFM, Jadranska 19, 1111 Ljubljana, Slovenia e-mail: janko.bracic@guest.arnes.si
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Abstract

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In this paper we introduce simple multipliers, a special subclass of multipliers on a Banach module. We show that, from a local spectral point of view, these multipliers behave like multipliers on a commutative Banach algebra. Our definition of simple multipliers relies on the notion of point multipliers. These multipliers were studied earlier. However our approach gives new insight into this topic and therefore could be of some interest by itself.

Keywords

Primary 46H25Secondary 47B40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 2 , May 2003 , pp. 309 - 322
Copyright
2003 Glasgow Mathematical Journal Trust