Bounded, Montel and compact operators on spaces of Moscatelli type
Abstract
We characterize the pairs 
of Moscatelli Fréchet and 
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.
of Moscatelli Fréchet and 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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