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Quasi reflexivity and the sup of linear functionals

Published online by Cambridge University Press:  17 April 2009

P.K. Jain ,
K.K. Arora  and
D.P. Sinha
P.K. Jain
Affiliation:
Department of Mathematics, University of Delhi, Delhi 110007, India
K.K. Arora
Affiliation:
Department of Mathematics, Rajdhani College, University of Delhi, Ring Road, Raja Garden, New Delhi 110015, India
D.P. Sinha
Affiliation:
Department of Mathematics, Dyal Singh College, University of Delhi, Lodi Road, New Delhi 110003, India
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Abstract

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Quasi reflexive Banach spaces are characterised among the weakly countably determined Asplund spaces, in terms of the cardinality of the sets of linearly independent bounded linear functionals each of which does not attain its supremum on the unit sphere.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 1 , February 1997 , pp. 89 - 98
Copyright
Copyright © Australian Mathematical Society 1997

References

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