On Restriction Properties of Multiplication Operators

  • A. Plichko

    Pedagogical University, Korovograd, Ukraine
  • V. Shevchik

    Friedrich-Schiller-Universität Jena, Germany


A multiplication operator AA acting in a rearrangement-invariant function space EE is considered. Infinite dimensional subspaces XX of EE for which the restriction AXA|X is an isomorphism are described. Applications to multiplied trigonometric sequences in Banach function spaces are given.

Cite this article

A. Plichko, V. Shevchik, On Restriction Properties of Multiplication Operators. Z. Anal. Anwend. 18 (1999), no. 1, pp. 27–35

DOI 10.4171/ZAA/867