Projective Hilbert A(D)-modules.
Carlson, Jon F.; Clark, Douglas N.; Foias, Ciprian; Williams, J.P. — 1994
The New York Journal of Mathematics [electronic only]
Projective Hilbert A(D)-modules.
On a similarity theory for rational Toeplitz operators.
Projectivity and lifting of Hilbert module maps
In a recent paper, Carlson, Foiaş, Williams and the author proved that isometric Hilbert modules are projective in the category of Hilbert modules similar to contractive ones. In this paper, a simple proof, based on a strengthened lifting theorem, is given. The proof also applies to an equivalent theorem of Foiaş and Williams on similarity to a contraction of a certain 2 × 2 operator matrix.
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