Abstract. In this note we show that the number of isomorphism classes of complemented subspaces of a reflexive Orlicz function space LΦ[0,1] is un- countable, as soon as LΦ[0,1] is not isomorphic to L2[0,1]. Also, we prove that the set of all separable Banach spaces that are isomorphic to such an LΦ[0,1] is analytic non-Borel. Moreover, by using the Boyd interpolation the- orem we extend some results on Lp [0, 1] spaces to the rearrangement invariant function spaces under natural conditions on their Boyd indices. 

العنوان

Proceeding of the American Mathematical Society

الناشر

American Mathematical Society

بلد الناشر

الولايات المتحدة الأمريكية

Indexing

Thomson Reuters

معامل التأثير

0,681

نوع المنشور

Both (Printed and Online)

المجلد

144

السنة

2016

الصفحات

285-299