Subespacios de espacios Co-tonelados

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Subespacios de espacios Co-tonelados

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Title: Subespacios de espacios Co-tonelados
Author: García Lafuente, José María
Abstract: Un espacio localmente convexo es Co-tonelado si cada sucesión de su dual que converge débilmente a 0 es equicontinua. Se demuestra como resultado central que si un espacio Co-tonelado E tiene E’ secuencialmente completo, entonces todo subespacio (no necesariamente cerrado) de codimensión numerable de E es Co-tonelado. Se construye también un espacio Co-tonelado con dual débilmente secuencial completo que no es ω-tonelado.A locally convex space is Co-tonelado if every succession of his dual converging weakly to 0 is equicontinuous. It is shown as a central result that if a space Co-tonelado E is E ' sequentially complete, then every subspace (not necessarily closed) of numerable codimension of E is Co-tonelado. It also builds a space Co-tonelado full sequential dual weakly which is not ω-I tonelado.
URI: http://hdl.handle.net/10662/4467
Date: 1987


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