M M -structure in the Banach algebra of operators on C 0 ( Ω ) C_{0}(Omega ) Academic Article uri icon

abstract

  • The M-ideals in B(C0(Ω)), the space of continuous linear operators on (C0(Ω)), are determined where Ω is a locally compact Hausdorff countably paracompact space. A one-to-one correspondence between A/-ideals in B(C0(Ω)), open subsets of the Stone-Cech compactification of 12, and lower semicontinuous Hermi- tian projections in B(C0(Ω))** is established. © 1984 American Mathematical Society.

author list (cited authors)

  • Flinn, P. H., & Smith, R. R.

complete list of authors

  • Flinn, PH||Smith, RR

publication date

  • January 1, 1984 11:11 AM