Geodesic
A Class of Reflexive Symmetric Bk-Spaces
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 602-608

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

We denote by ω the linear space of all sequences of real or complex numbers. A linear subspace of ω is called a sequence space. A sequence space E is a BK-space (9) if it is equipped with a norm under which: first, E is a Banach space and second, each of the coordinate maps x → xi is continuous. Let ∑ be the group of all permutations of Z + = {1, 2, 3, ...}. If x ∈ ω and σ ∈ ∑, the sequence x σ is defined by (x σ)i = x σ(i)). A sequence space E is symmetric if x σ ∈ E whenever x ∈ E and σ ∈ ∑. Accounts of symmetric sequence spaces occur in (3; 7; 8). 
Garling, D. J. H. A Class of Reflexive Symmetric Bk-Spaces. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 602-608. doi: 10.4153/CJM-1969-068-0
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