Projectivity and lifting of Hilbert module maps

Douglas N. Clark. "Projectivity and lifting of Hilbert module maps." Annales Polonici Mathematici 66.1 (1997): 43-48. <http://eudml.org/doc/270024>.

@article{DouglasN1997,
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.},
author = {Douglas N. Clark},
journal = {Annales Polonici Mathematici},
keywords = {Hilbert module; lifting theorem; polynomially bounded; isometric Hilbert modules; projective; category of Hilbert modules similar to contractive ones; similarity to a contraction; operator matrix},
language = {eng},
number = {1},
pages = {43-48},
title = {Projectivity and lifting of Hilbert module maps},
url = {http://eudml.org/doc/270024},
volume = {66},
year = {1997},
}

TY - JOUR
AU - Douglas N. Clark
TI - Projectivity and lifting of Hilbert module maps
JO - Annales Polonici Mathematici
PY - 1997
VL - 66
IS - 1
SP - 43
EP - 48
AB - 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.
LA - eng
KW - Hilbert module; lifting theorem; polynomially bounded; isometric Hilbert modules; projective; category of Hilbert modules similar to contractive ones; similarity to a contraction; operator matrix
UR - http://eudml.org/doc/270024
ER -