Bounded, Montel and compact operators on spaces of Moscatelli type

Authors

  • J.A. López Molina
  • M.J. Rivera

DOI:

https://doi.org/10.1285/i15900932v14n1p101

Keywords:

Compact, Bounded and Montel maps, Moscatelli spaces

Abstract

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.

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Published

01-01-1994

Issue

Volume 14, Issue 1 (1994)

Section

Articoli

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