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]
Similarity:
Carlson, Jon F., Clark, Douglas N., Foias, Ciprian, Williams, J.P. (1994)
The New York Journal of Mathematics [electronic only]
Similarity:
Thom, Andreas (2011)
Theory and Applications of Categories [electronic only]
Similarity:
Moslehian, Mohammad Sal (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Similarity:
David P. Blecher, Jon E. Kraus (2010)
Banach Center Publications
Similarity:
a recent paper of the first author and Kashyap, a new class of Banach modules over dual operator algebras is introduced. These generalize the W*-modules (that is, Hilbert C*-modules over a von Neumann algebra which satisfy an analogue of the Riesz representation theorem for Hilbert spaces), which in turn generalize Hilbert spaces. In the present paper, we describe these modules, giving some motivation, and we prove several new results about them.
Douglas N. Clark (1997)
Annales Polonici Mathematici
Similarity:
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.
Manuilov, V.M. (1996)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Gabriella D'Este, Dieter Happel (1990)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Raphaël Clouâtre (2014)
Studia Mathematica
Similarity:
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.
Gabriella D'Este (2006)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We construct non faithful direct summands of tilting (resp. cotilting) modules large enough to inherit a functorial tilting (resp. cotilting) behaviour.
W. H. Schikhof (1971)
Compositio Mathematica
Similarity:
Maria Joiţa, Mohammad Sal Moslehian (2012)
Studia Mathematica
Similarity:
We introduce a notion of Morita equivalence for Hilbert C*-modules in terms of the Morita equivalence of the algebras of compact operators on Hilbert C*-modules. We investigate the properties of the new Morita equivalence. We apply our results to study continuous actions of locally compact groups on full Hilbert C*-modules. We also present an extension of Green's theorem in the context of Hilbert C*-modules.
Maria Joiţa (2008)
Studia Mathematica
Similarity:
We investigate the structure of the multiplier module of a Hilbert module over a pro-C*-algebra and the relationship between the set of all adjointable operators from a Hilbert A-module E to a Hilbert A-module F and the set of all adjointable operators from the multiplier module M(E) to M(F).