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On the spectral maximal spaces of a multiplier. (English) Zbl 0995.47001

Summary: This note centers around the class of multipliers on a commutative semisimple Banach algebra. The aim of this note is to investigate some aspects concerning their local spectral properties of multipliers. Also, we obtain a theorem describing structure of certain class of invariant subspaces of multipliers.

MSC:

47A11 Local spectral properties of linear operators
47B40 Spectral operators, decomposable operators, well-bounded operators, etc.
46J05 General theory of commutative topological algebras
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