Some characterizations of the properties (DN) and ($\tilde\Omega$)

• Autores: Le Mau Hai, Nguyen Van Khue
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 87, Nº 2, 2000, págs. 240-250
• Idioma: inglés
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• Resumen

  • The aim of this paper is to show that 7816H_w(B,F) = H(B,F)7816 for every $\mathrm{LB}^\infty$-regular compact set $B$ in a Frechet space $E$ if and only if $F$ is a Frechet space having property (DN). At the same time, the equivalence between the existence of the $\mathrm{LB}^\infty$-regular compact set $B$ in a Schwartz-Frechet space $E$ with an absolute basis and the property $(\tilde\Omega)$ also established here.