Genus n Banach spaces

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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.
26 pages

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Functional Analysis, 46B15

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http://salesiana.dossiersoluciones.com/handle/123456789/76822

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9804065
 http://arxiv.org/abs/math/9804065

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arXiv