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The λ-property in schreier's space S and the Lorentz space d(a, 1)

Published online by Cambridge University Press:  18 May 2009

Thaddeus J. Shura  and
David Trautman
Thaddeus J. Shura
Affiliation:
Kent State Universityat SalemSalem, Ohio 44460, U.S.A.
David Trautman
Affiliation:
The CitadelCharlestonSouth Carolina 29409, U.S.A.
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Abstract

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We add Schreier's space S and the Lorentz space d(a, 1) to the list of classical Banach spaces which enjoy the λ-property, investigate the extreme point structure of S, and show that d(a, 1) has a λ-function which is continuous on Sd(a, 1), though not even uniformly so.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 32 , Issue 3 , September 1990 , pp. 277 - 284
Copyright
Copyright © Glasgow Mathematical Journal Trust 1990

References

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