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A remark on metrically convergent series in F-spaces*
Published online by Cambridge University Press: 24 October 2008
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.
- 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