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James’ quasi-reflexive space is primary

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Abstract

It is shown that James’ quasi-reflexive Banach space is primary. We also prove if X is a complemented reflexive subspace ofJ thenX is isomorphic to a complemented subspace of (ΣJ n )I2 whereJ n is the span of the firstn elements of the unit vector basis ofJ.

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  1. Department of Mathematics, The University of Alabama in Huntsville, 35807, Huntsville, Alabama, USA

    P. G. Casazza

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  1. P. G. Casazza
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Casazza, P.G. James’ quasi-reflexive space is primary. Israel J. Math. 26, 294–305 (1977). https://doi.org/10.1007/BF03007648

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  • DOI: https://doi.org/10.1007/BF03007648

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