The algebra of bounded linear operators\break on p p has infinitely many closed ideals Academic Article uri icon


  • Abstract We prove that in the reflexive range 1 < p < q < {1 , the algebra ( p q ) mathcal{L}(ell_{p}oplusell_{q}) of all bounded linear operators on p q {ell_{p}oplusell_{q}} has infinitely many closed ideals. This solves a problem raised by A. Pietsch [4, Problem 5.3.3] in his book Operator ideals.

published proceedings

  • Journal fr die reine und angewandte Mathematik (Crelles Journal)

author list (cited authors)

  • Schlumprecht, T., & Zsk, A.

citation count

  • 13

complete list of authors

  • Schlumprecht, Thomas||Zsák, András

publication date

  • February 2018