M-STRUCTURE IN THE BANACH ALGEBRA OF OPERATORS ON CO(OMEGA) Academic Article uri icon

abstract

  • The M M -ideals in B ( C 0 ( ) ) B({C_0}(Omega )) , the space of continuous linear operators on C 0 ( ) {C_0}(Omega ) , are determined where Omega is a locally compact Hausdorff countably paracompact space. A one-to-one correspondence between M M -ideals in B ( C 0 ( ) ) B({C_0}(Omega )) , open subsets of the Stone-ech compactification of Omega , and lower semicontinuous Hermitian projections in B ( C 0 ( ) ) B{({C_0}(Omega ))^{ast ast }} is established.

published proceedings

  • TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

  • FLINN, P. H., & SMITH, R. R.

citation count

  • 1

complete list of authors

  • FLINN, PH||SMITH, RR

publication date

  • January 1984