Interpolation and extrapolation of strictly singular operators between L-p spaces Articles uri icon

authors

  • HERNÁNDEZ, FRANCISCO L.
  • SEMENOV, EVGENY M.
  • TRADACETE PEREZ, PEDRO

publication date

  • August 2017

start page

  • 667

end page

  • 690

volume

  • 316

International Standard Serial Number (ISSN)

  • 0001-8708

Electronic International Standard Serial Number (EISSN)

  • 1090-2082

abstract

  • We study the interpolation and extrapolation properties of strictly singular operators between different Lp spaces. To this end, the structure of strictly singular non-compact operators between L-p Lq spaces is analyzed. Among other things, we clarify the relation between strict singularity and the L-characteristic set of an operator. In particular, Krasnoselskii's interpolation theorem for compact operators is extended to the class of strictly singular operators. (C) 2017 Elsevier Inc. All rights reserved.

keywords

  • interpolation; strictly singular operator; l-p spaces; l-characteristic set