A note on bornivorous barrels of C(X,E)

• Autores: Cándido Piñeiro Gómez
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 40, Fasc. 2, 1989, págs. 103-107
• Idioma: inglés
• Títulos paralelos:
  • Una nota sobre barriles generatrices de C(X,E)
• Enlaces
  • Texto completo
• Resumen

  • If $X$ is a compact topological space and $E$ is a locally convex space, we prove that the sets $\{\phi\in C(X,E): \phi(X)\subset T\},T$ running through the set of bornivorous barrels in $E$, form a base of bornivorous barrels in $C(X,E)$ if and only if $E'_\beta$ has property $(P)$ of Pietsch

• Referencias bibliográficas
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  • J. Mendoza, Necessary and sufficient conditions for $C(X,E)$ to be barrelled or infrabarrelled, Simon Stevin J. of Pure and Applied Math....
  • A. Pietsch, Nuclear Locally Convex Spaces, Springer, Berlin-Heidelberg, 1972.
  • J. Schmets, Spaces of Vector-Valued Continuous Functions, Lecture Notes in Mathematics 1003, Springer, Berlin-Heidelberg, 1983.