m at h . FA ] 1 4 A pr 1 99 8 GENUS N BANACH SPACES

نویسندگان

  • P. G. CASAZZA
  • M. C. LAMMERS
چکیده

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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تاریخ انتشار 1998