Spectral and homological properties of Hilbert modules over the disc algebra
Studia Mathematica, Tome 222 (2014) no. 3, p. 263.

Voir la notice de l'article dans European Digital Mathematics Library

We study general Hilbert modules over the disc algebra and exhibit necessary spectral conditions for the vanishing of certain associated extension groups. In particular, this sheds some light on the problem of identifying the projective Hilbert modules. Part of our work also addresses the classical derivation problem.
Classification : 47A10, 46H25
Mots-clés : Hilbert module, projective module, inner function, Jordan operator 
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Raphaël Clouâtre. Spectral and homological properties of Hilbert modules over the disc algebra. Studia Mathematica, Tome 222 (2014) no. 3, p. 263. https://geodesic-test.mathdoc.fr/item/STUMA_2014__222_3_285761/