Bounded, Montel and compact operators on spaces of Moscatelli type


We characterize the pairs (E,F) of Moscatelli Fréchet and LB spaces such that: 1) Every continuous linear map from E into F sends bounded sets in E into precompact ones in F. 2) Every bounded map from E into F sends some 0-neighbourhood in E into a precompact set in F.

DOI Code: 10.1285/i15900932v14n1p101

Keywords: Compact; Bounded and Montel maps; Moscatelli spaces

Classification: 46A05; 46A12; 46A32

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