Hilbert Modules And Their Representation.
Alonso Takahashi (1979)
Revista colombiana de matematicas
Similarity:
Alonso Takahashi (1979)
Revista colombiana de matematicas
Similarity:
D. K. Rao (1976)
Revista colombiana de matematicas
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.
Jaime Lesmes (1974)
Revista colombiana de matematicas
Similarity:
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.
Carlson, Jon F., Clark, Douglas N., Foias, Ciprian, Williams, J.P. (1994)
The New York Journal of Mathematics [electronic only]
Similarity:
Dijana Ilišević, Chih-Neng Liu, Ngai-Ching Wong (2017)
Concrete Operators
Similarity:
Being expected as a Banach space substitute of the orthogonal projections on Hilbert spaces, generalized n-circular projections also extend the notion of generalized bicontractive projections on JB*-triples. In this paper, we study some geometric properties of JB*-triples related to them. In particular, we provide some structure theorems of generalized n-circular projections on an often mentioned special case of JB*-triples, i.e., Hilbert C*-modules over abelian C*-algebras C0(Ω). ...
Maria Joiţa (2011)
Open Mathematics
Similarity:
In this paper, we prove a covariant version of the Stinespring theorem for Hilbert C*-modules. Also, we show that there is a bijective correspondence between operator valued completely positive maps, (u′, u)-covariant with respect to the dynamical system (G, η, X) on Hilbert C*-modules and (u′, u)-covariant operator valued completely positive maps on the crossed product G ×η X of X by η.
Guessous, Mohamed (1997)
Journal of Convex Analysis
Similarity:
Zeng Guangxin (1991)
Mathematische Zeitschrift
Similarity:
Maria Joiţa (2004)
Czechoslovak Mathematical Journal
Similarity:
In this paper the tensor products of Hilbert modules over locally -algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert -modules are also valid in the context of Hilbert modules over locally -algebras.
Humio Ichimura, Hiroki Sumida-Takahashi (2009)
Acta Arithmetica
Similarity:
T.V. Panchapagesan, Gilberto Gonzalez (1987)
Revista colombiana de matematicas
Similarity:
James Osterburg (1976)
Revista colombiana de matematicas
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.