Spectral and homological properties of Hilbert modules over the disc algebra

• Autorzy: Raphaël Clouâtre
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 222
• Numer: 3
• Strony: 263-282

Daty

wydano

2014

Twórcy

autor

Raphaël Clouâtre

• Department of Pure Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, ON, Canada N2L 3G1

Identyfikatory

DOI

10.4064/sm222-3-4