Dixmier’s representation theorem of central double centralizers on Banach algebras

Takahasi, Sin-ei

doi:10.1090/S0002-9947-1979-0536944-3

Dixmier’s representation theorem of central double centralizers on Banach algebras
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Trans. Amer. Math. Soc. 253 (1979), 229-236 Request permission

Abstract:

The present paper is devoted to a representation theorem of central double centralizers on a complex Banach algebra with a bounded approximate identity. In particular, our result implies the representation theorem of the ideal center of an arbitrary ${C^\ast }$-algebra established by J. Dixmier.

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