M -ideals in B ( l p ) Academic Article uri icon

abstract

  • This paper is concerned with the M-ideal structure of the algebras B(lp) of bounded operators on the sequence spaces lp1 < p < ∞. The M-summands are completely determined, but the M-ideals are only partially characterized. However evidence is presented to support the conjecture that the only nontrivial M-ideal is the ideal C(lp) of compact operators on lp. © 1979, University of California, Berkeley. All Rights Reserved.

author list (cited authors)

  • Smith, R., & Ward, J.

citation count

  • 1

complete list of authors

  • Smith, Roger||Ward, Joseph

publication date

  • March 1979