Geodesic
On Some Classes of Primary Banach Spaces
Canadian journal of mathematics, Tome 29 (1977) no. 4, pp. 856-873

Voir la notice de l'article provenant de la source Cambridge University Press

A Banach space X is called primary (respectively, prime) if for every (bounded linear) projection P on X either PX or (I — P)X (respectively, PX with dim PX = ∞ ) is isomorphic to X. It is well-known that C0 and lp, 1 ≦ p ≦ ∞ [8; 14] are prime. However, it is unknown whether there are other prime Banach spaces. For a discussion on prime and primary Banach spaces, we refer the reader to [9]. 
Casazza, P. G.; Kottman, C. A.; Lin, Bor-Luh. On Some Classes of Primary Banach Spaces. Canadian journal of mathematics, Tome 29 (1977) no. 4, pp. 856-873. doi: 10.4153/CJM-1977-088-7
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