MULTIPLIERS OF AN ANNIHILATOR ALGEBRA.

Abstract

Let A be a semi-simple annihilator Banach algebra, and E be the space of all minimal closed two-sided ideals in A. Denote by M(A) the set of all bounded linear operators T satisfying (Tx)y = x(Ty) for all x, y epsilon A. The main result proved in this note is the following theorem: There exists a norm-decreasing isomorphism of M(A) onto C superscript infinity symbol (E), the space of all bounded continuous complex functions on E. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0678970

Entities

People

  • James S. W. Wong
  • Wai-mee Ching

Organizations

  • University of Wisconsin–Madison

Tags

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Graph Algorithms and Convex Optimization.
  • Operations Research

Technology Areas

  • Space