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Inclusion indices of quasi-Banach spaces. (English) Zbl 1179.46026

Summary: We investigate inclusion indices for quasi-Banach spaces. First, we consider the case of function spaces on \([0,1]\), then the sequence case and, finally, we develop an abstract approach dealing with indices defined by the real interpolation scale generated by a quasi-Banach couple.

MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)