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Some Problems on Br-Completeness

T. K. Mukherjee
Proceedings of the American Mathematical Society
Vol. 46, No. 3 (Dec., 1974), pp. 367-374
DOI: 10.2307/2039932
Stable URL: http://www.jstor.org/stable/2039932
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Some Problems on Br-Completeness
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Abstract

In this paper, we give examples to show the following: 1. The product of two B-complete spaces is not necessarily Br-complete. 2. The Mackey dual of a strict LF-space is not necessarily Br-complete. 3. A separable, reflexive, and strict LF-space is not, in general, Br-complete. The second point has reference to a problem of Dieudonné and Schwartz which asks essentially whether the Mackey dual of a strict LF-space is B-complete and which was answered in the negative by Grothendieck.

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