Full paper in PDF:
$%A. A. Albanese, The density condition in quotients of quasinormable Fréchet spaces, II, Rev. Mat. Complut. 12 (1999), no. 1, 73–84.%$

The Density Condition in Quotients of Quasinormable Fréchet Spaces, II
Angela A. ALBANESE
Dipartimento di Matematica E. De Giorgi
Università di Lecce, C.P. 193
Via per Arnesano
73100, Lecce — Italy

Received: April 15, 1998
Revised: July 13, 1998

ABSTRACT

It is proved that a Fréchet space is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Díaz.

1991 Mathematics Subject Classification: 46A04.