Spaces of Moscatelli type. A survey


Abstract


We survey different developments on Fr'{e}chet, (LB)-spaces and (LF)-spaces of Moscatelli type, their properties, their applications to find counterexamples to different open problems, relevant examples of smooth function spaces in this frame and related results.

DOI Code: 10.1285/i15900932v31n1p29

Keywords: Fréchet spaces, (LB)-spaces ; (LF)-spaces ; Moscatelli type constructions ; approximation property ; bounded approximation property ; continuous norm.

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