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A remark on metrically convergent series in F-spaces*

Published online by Cambridge University Press:  24 October 2008

H. M. Charsky
H. M. Charsky
Affiliation:
Israel Institute of Technology
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Extract

Let X be an F-space, not necessarily locally convex, with a quasi-norm ‖x‖ (see (7), p. 31). The series

of elements of X is commutatively convergent if and only if converges for every permutation {Yn}nεω of {Xn}nεω.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 613 - 615
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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