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The lambda-property for generalised direct sums of normed spaces
Published online by Cambridge University Press: 17 April 2009
Extract
This paper considers direct sums of normed spaces with respect to a Banach space with a normalised, unconditionally strictly monotone basis. Necessary and sufficient conditions are given for such direct sums to have the λ-property. These results are used to construct examples of reflexive Banach spaces U and V such that U has the uniform λ-property but U* fails to have the λ-property, while V and V* fail to have the λ-property.
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- Copyright © Australian Mathematical Society 1990
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