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Category of sequences of zeros and ones in some FK spaces

Published online by Cambridge University Press:  18 May 2009

Robert Devos
Robert Devos
Affiliation:
Villanova University, Villanova, Pennsylvania 19085, U.S.A.
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Let s denote the space of all complex valued sequences and let E∞ be all eventually zero sequences. An FK space is a locally convex vector subspace of s which is also a Fréchet space (complete linear metric) with continuous coordinates. A BK space is a normed FK space. Some discussion of FK spaces is given in [11]. Well-known examples of BK spaces are the spaces m, c, c0 of bounded, convergent, null sequences respectively, all with and

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 19 , Issue 2 , July 1978 , pp. 121 - 124
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978

References

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