Essentially Hermitian operators in B ( L p ) B(L_{p}) Academic Article uri icon


  • It is shown that on L p [ 0 , 1 ] {L_p}[0,1] all bounded linear operators which are Hermitian in the Calkin algebra B ( L p ) / C ( L p ) B({L_p})/C({L_p}) , must be of the form Hermitian plus compact". That is, essentially Hermitian operators have the form, real multiplier plus compact.

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Allen, G. D., Legg, D. A., & Ward, J. D.

citation count

  • 0

complete list of authors

  • Allen, GD||Legg, DA||Ward, JD

publication date

  • January 1980