032. A necessary and sufficient condition for a space to be infrabarrelled…

Full Title: A necessary and sufficient condition for a space to be infrabarrelled or polynomially infrabarrelled
Math. Journal:
Glasnick Matematicki , Croatia, 34 (1999), 263-265.
Authors:
Caldas, M. and Pombo, D.

Abstract
A locally convex space E is polynomially barrelled (resp. polynomially infrabarrelled) if and only if, for every Banach space F (resp. for every positive integer m and for every Banach space F), the space of all continuous linear mappings from E into F (resp. the space of all continuous m-homogeneous polynomials from E into F) is quasi-complete for the topology of bounded convergence.


 

Filed Under: 1996-2000

Preprints

    Please, contact me for any preprint of papers.

Weather

    NiterĂ³i
    Cloudy
    Cloudy
    26°C
    real feel: 32°C
    humidity: 94%
    wind speed: 0 km/h SSW
    Forecast February 17, 2019
    day
    Showers
    Showers
    29°C
    wind speed: 7 km/h W
    Forecast February 18, 2019
    day
    Thunderstorms
    Thunderstorms
    31°C
    wind speed: 7 km/h E