A+ CATEGORY SCIENTIFIC UNIT

Projectivity and lifting of Hilbert module maps

Volume 66 / 1997

Douglas Clark Annales Polonici Mathematici 66 (1997), 43-48 DOI: 10.4064/ap-66-1-43-48

Abstract

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.

Authors

  • Douglas Clark

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