Geodesic
On James' Quasi-Reflexive Banach Space as a Banach Algebra
Canadian journal of mathematics, Tome 32 (1980) no. 5, pp. 1080-1101

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

In [4] and [5], R. C. James introduced a non-reflexive Banach space J which is isometric to its second dual. Developing new techniques in the theory of Schauder bases, James identified J**, showed that the canonical image of J in J** is of codimension one, and proved that J** is isometric to J.In Section 2 of this paper we show that J, equipped with an equivalent norm, is a semi-simple (commutative) Banach algebra under point wise multiplication, and we determine its closed ideals. We use the Arens multiplication and the Gelfand transform to identify J**, which is in fact just the algebra obtained from J by adjoining an identity. 
Andrew, Alfred D.; Green, William L. On James' Quasi-Reflexive Banach Space as a Banach Algebra. Canadian journal of mathematics, Tome 32 (1980) no. 5, pp. 1080-1101. doi: 10.4153/CJM-1980-083-7
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