The essential norm of multiplication operators on Lorentz sequence spaces. (English) Zbl 1491.47024

Summary: We study some basic properties of Lorentz sequence spaces. Description of multiplication operators generated by a sequence is presented. We calculate the essential norm of multiplication operators acting on Lorentz sequence spaces.


47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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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