Geodesic
Symmetric Coordinate Spaces and Symmetric Bases
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 828-838

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

In this paper properties of symmetric coordinate spaces and symmetric bases are investigated. Since a space which possesses a basis is essentially a space of sequences (12, p. 207), the interrelation of these two concepts naturally suggests itself.Section 2 is a summary of the terminology and methods employed, which fall into four categories: (1) set theoretical properties of coordinate spaces such as symmetry and dual spaces; (2) the notion of FK and BK space (12, p. 202; 13); (3) the theory of the Schauder basis in F-space applied to the case when (see § 2) is a basis for a coordinate space; (4) the concept of a sequential norm, which the author introduced in (7) to illustrate the underlying unity of the first three ideas. 
Ruckle, William. Symmetric Coordinate Spaces and Symmetric Bases. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 828-838. doi: 10.4153/CJM-1967-077-9
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