Zeitschrift für Analysis und ihre Anwendungen Vol. 18, No. 1, pp. 2735 (1999) 

On Restriction Properties of Multiplication OperatorsA. Plichko and V. ShevchikA. Plichko: Ped. Univ., Dept. Math., Str. Shevchenko, Korovograd 316050, UkraineV. Shevchik: FriedrichSchillerUniv., Math. Inst., ErnstAbbe.Pl. 14, D07743 Jena, email: shevchik@minet.unijena.de Abstract: A multiplication operator $A$ acting in a rearrangementinvariant function space $E$ is considered. Infinite dimensional subspaces $X$ of $E$ for which the restriction $AX$ is an isomorphism are described. Applications to multiplied trigonometric sequences in Banach function spaces are given. Keywords: multiplication operators, rearrangementinvariant functions spaces Classification (MSC2000): 46Bxx, 47Bxx Full text of the article:
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