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http://hdl.handle.net/10662/4548
Title: | On the three space problems for countable barrelendness |
Authors: | García Lafuente, José María Meléndez Rocha, María Yolanda |
Keywords: | Espacio de Hausdorff;Topología;Análisis funcional;Hausdorff space;Topology;Functional analysis |
Issue Date: | 2016-07-29 |
Abstract: | Let F be a closed subspace of a Hausdorff locally convex space E such that F and the Hausdorff quotient E/F enjoy a property (M). Does the whole space E enjoy (M)?. This problem is called "the three-space-problem" and it is a common problem in the framework of twisted exact sequences {see I3I). It is been already considered by several authors, e.g. IPBI, I4I. ln the present paper we shall provide a negative answer to the problem for IP -quasi-barrelledness, lP Є {Xo, l∞, c, co} and for df spaces. We shall also supply a thoroughly positive answer for l∞-barrelledness and a partial affirmative answer for Co-barrelledness. |
URI: | http://hdl.handle.net/10662/4548 |
Appears in Collections: | DMATE - Artículos |
Files in This Item:
File | Description | Size | Format | |
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ThrSpaProCou.pdf | 284,24 kB | Adobe PDF | View/Open |
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