Bse Banach Modules and Bundles of Banach Spaces

نویسندگان

  • D. A. ROBBINS
  • Vern I. Paulsen
چکیده

In a recent paper, S.-E. Takahasi defined the notion of a BSE Banach module over a commutative Banach algebra A with bounded approximate identity. We show that the multiplier space &f(X) of X can be represented as a space of sections in a bundle of Banach spaces, and we use bundle techniques to obtain shorter proofs of various of Takahasi’s results on P-algebra modules and to answer several questions which he raised.

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تاریخ انتشار 2003