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On Countably, σ-, and Sequentially Barrelled Spaces

Published online by Cambridge University Press:  20 November 2018

T. Husain  and
S. M. Khaleelulla
T. Husain
Affiliation:
McMaster University, Hamilton, Ontario, Canada
S. M. Khaleelulla
Affiliation:
McMaster University, Hamilton, Ontario, Canada
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The first author [2] calls a Hausdorff locally convex (abbreviated to l.c.) space (E, u) countably barrelled if each σ(E′, E)-bounded subset of E′ which is the countable union of equicontinuous subsets of E′, is itself equicontinuous.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 431 - 432
Copyright
Copyright © Canadian Mathematical Society 1975

References

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