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Ansemil, José María M. and Blasco Contreras, Fernando and Ponte, Socorro (1997) On the "threespace problem" for spaces of polynomials. Note di Matematica, 17 . pp. 185195. ISSN 11232536

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Official URL: http://sibaese.unisalento.it/index.php/notemat/article/view/870/726
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http://sibaese.unisalento.it/index.php/notemat/  Organisation 
Abstract
A property P of locally convex spaces is called a threespace 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 nhomogeneous 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.
Item Type:  Article 

Additional Information:  Proceedings of the Second International Workshop on Functional Analysis (Trier, 1997) 
Uncontrolled Keywords:  Threespace problem; spaces of polynomials 
Subjects:  Sciences > Mathematics > Functional analysis and Operator theory 
ID Code:  22556 
Deposited On:  24 Jul 2013 11:08 
Last Modified:  10 Aug 2018 08:55 
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