Spectral and homological properties of Hilbert modules over the disc algebra
Studia Mathematica (2014)
- Volume: 222, Issue: 3, page 263-282
- ISSN: 0039-3223
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topRaphaël Clouâtre. "Spectral and homological properties of Hilbert modules over the disc algebra." Studia Mathematica 222.3 (2014): 263-282. <http://eudml.org/doc/285761>.
@article{RaphaëlClouâtre2014,
abstract = {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.},
author = {Raphaël Clouâtre},
journal = {Studia Mathematica},
keywords = {Hilbert module; projective module; inner function; Jordan operator},
language = {eng},
number = {3},
pages = {263-282},
title = {Spectral and homological properties of Hilbert modules over the disc algebra},
url = {http://eudml.org/doc/285761},
volume = {222},
year = {2014},
}
TY - JOUR
AU - Raphaël Clouâtre
TI - Spectral and homological properties of Hilbert modules over the disc algebra
JO - Studia Mathematica
PY - 2014
VL - 222
IS - 3
SP - 263
EP - 282
AB - 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.
LA - eng
KW - Hilbert module; projective module; inner function; Jordan operator
UR - http://eudml.org/doc/285761
ER -
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