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On shrinking bases in p-Banach spaces

Published online by Cambridge University Press:  24 October 2008

M. A. Ariño
M. A. Ariño
Affiliation:
Facultad de Matemáticas, Universidad de Barcelona, 08007 Barcelona, Spain
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Extract

Singer [7] proved that in a Banach space all basic sequences are shrinking if and only if all of them are boundedly complete. Afterwards; Zippin [2] proved a similar result for Schauder bases, and it was extended [1] to Schauder decompositions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 1 , January 1988 , pp. 127 - 132
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

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