The perturbation classes problem for subprojective and superprojective Banach spaces

Manuel González, Javier Pello, Margot Salas-Brown

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the perturbation class for the upper semi-Fredholm operators between two Banach spaces X and Y coincides with the strictly singular operators when X is subprojective and that the perturbation class for the lower semi-Fredholm operators coincides with the strictly cosingular operators when Y is superprojective. Similar results were previously obtained under stronger conditions for X and Y.

Original languageEnglish (US)
Article number124191
JournalJournal of Mathematical Analysis and Applications
Volume489
Issue number2
DOIs
StatePublished - Sep 15 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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