A multiplication operator acting in a rearrangement-invariant function space is considered. Infinite dimensional subspaces of for which the restriction 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