Genus $n$ Banach spaces
Casazza, P. G. ; Lammers, M. C.
Illinois J. Math., Tome 43 (1999) no. 3, p. 307-323 / Harvested from Project Euclid
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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.
Publié le : 1999-06-15
Classification:  46B15,  46B07 
@article{1255985217,
     author = {Casazza, P. G. and Lammers, M. C.},
     title = {Genus $n$ Banach spaces},
     journal = {Illinois J. Math.},
     volume = {43},
     number = {3},
     year = {1999},
     pages = { 307-323},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255985217}
}

Casazza, P. G.; Lammers, M. C. Genus $n$ Banach spaces. Illinois J. Math., Tome 43 (1999) no. 3, pp.  307-323. http://gdmltest.u-ga.fr/item/1255985217/