Geodesic
Hilbert modules revisited: orthonormal bases and Hilbert-Schmidt operators
Glasgow mathematical journal, Tome 37 (1995) no. 1, pp. 45-54

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

The concept of a Hilbert module (over an H*-algebra) arises as a generalization of that of a complex Hilbert space when the complex field is replaced by an (associative) H*-algebra with zero annihilator. P. P. Saworotnow [13] introduced Hilbert modules and extended to its context some classical theorems from the theory of Hilbert spaces, J. F. Smith [17] gave a complete structure theory for Hilbert modules, and G. R. Giellis [9] obtained a nice characteristization of Hilbert modules. 
Cabrera, M.; Martínez, J.; Rodríguez, A. Hilbert modules revisited: orthonormal bases and Hilbert-Schmidt operators. Glasgow mathematical journal, Tome 37 (1995) no. 1, pp. 45-54. doi: 10.1017/S0017089500030378
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