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Strictly contractive projections on classical sequence spaces. (English) Zbl 0745.46025

Summary: We characterize subspaces of finite codimensiona in \(\ell^ 1\), which are the range of a strictly contractive projection. Moreover, we prove that no subspace of that type exists in \({\mathcal C_ 0}\).

MSC:

46B25 Classical Banach spaces in the general theory
46B45 Banach sequence spaces
46A45 Sequence spaces (including Köthe sequence spaces)
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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