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On Schachermayer's example about the Banach-Saks property

Published online by Cambridge University Press:  18 May 2009

Carmelo Nunez
Carmelo Nunez
Affiliation:
Departamento De Analisis MatematicoFacultad De MatematicasUniversidad Complutense28040—Madrid, Spain
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A Banach space (X, ∥.∥) is said to have the Banach-Saks property (B.S.P.) if, for every bounded sequence (xn) in X, we can choose a subsequence () of (xn) such that the sequence

converges in the X-norm. This property, that a Banach space may enjoy or not, has been extensively studied.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 32 , Issue 2 , May 1990, pp. 201 - 203
Copyright
Copyright © Glasgow Mathematical Journal Trust 1990

References

REFERENCES

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