Mackey ℵ0-Barrelled Spaces

Author: Saxon S.A.   Tweddle I.  

Publisher: Academic Press

ISSN: 0001-8708

Source: Advances in Mathematics, Vol.145, Iss.2, 1999-08, pp. : 230-238

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Abstract

In the context of “Reinventing weak barrelledness,” the best possible versions of the Robertson–Saxon–Robertson Splitting Theorem and the Saxon–Tweddle Fit and Flat Components Theorem are obtained by weakening the hypothesis from “barrelled” to “Mackey and ℵ0-barreled.” An example showing that the latter does not imply the former validates novelty, answers an old question, and completes a robust linear picture of “Mackey weak barrelledness” begun several decades ago. Copyright 1999 Academic Press.