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A representation of isometries on function spaces. (English) Zbl 0905.47023
The author proves that every surjective isometry $$Q$$ between certain ideal spaces is a weighted composition operator, i.e. $$Qf(t)= q(t)f(\varphi(t))$$.

MSC:
 47B38 Linear operators on function spaces (general) 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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