RT Journal Article
T1 On the "three-space problem" for spaces of polynomials.
A1 Martínez Ansemil, José María
A1 Blasco Contreras, Fernando
A1 Ponte Miramontes, María Del Socorro
AB A property P of locally convex spaces is called a three-space property whenever the following implication holds: if both a closed subspace F and the corresponding quotient E/F of a locally convex space E have P then E has P as well. The authors consider properties P of the form: E has P whenever two "natural'' topologies coincide on the spaces of n-homogeneous polynomials on E. They consider topologies of the uniform convergence on all absolutely convex compact or bounded subsets as well as the strong topology and the Nachbin ported topology. The results obtained are mostly negative and the counterexamples are variations of the known spaces.
PB Università del Salento
SN 1123-2536
YR 1997
FD 1997
LK https://hdl.handle.net/20.500.14352/58699
UL https://hdl.handle.net/20.500.14352/58699
LA eng
NO Proceedings of the Second International Workshop on Functional Analysis (Trier, 1997)
NO Universidad Complutense de Madrid
NO Dirección General de Enseñanza Superior (España)
DS Docta Complutense
RD 6 abr 2025