Interpolation between sum and intersection of Banach spaces. (English) Zbl 0636.46063
Let \(A_ 0\) and \(A_ 1\) be a compatible Banach couple. The author studies intermediate Banach spaces between the Banach couple \((A_ 0\cap A_ 1,A_ 0+A_ 1)\). In particular a result of N. Aronszajn and E. Gagliardo [Ann. Mat. Pura Appl., IV. Ser. 68, 51-118 (1965; Zbl 0195.131)], that gives a characterization of these spaces, is applied to symmetric spaces.
Reviewer: M.Milman
MSC:
| 46M35 | Abstract interpolation of topological vector spaces |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
Keywords:
interpolation between sum and intersection of Banach spaces; intermediate Banach spaces; Banach couple; symmetric spacesCitations:
Zbl 0195.131References:
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