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Genus n Banach spaces

Peter G. Casazza·Mark C. Lammers
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Abstract

We show that the classification problem for genus n Banach spaces can be reduced to the unconditionally primary case and that the critical case there is n=2. It is further shown that a genus n Banach space is unconditionally primary if and only if it contains a complemented subspace of genus (n-1). We begin the process of classifying the genus 2 spaces by showing they have a strong decomposition property.

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Peter G. Casazza, Mark C. Lammers. 1998-04-14. Genus n Banach spaces. https://arxiv.org/abs/math/9804065

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