A Duality Between Hilbert Modules And Fields Of Hilbert Spaces.
Alonso Takahashi (1979)
Revista colombiana de matematicas
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Alonso Takahashi (1979)
Revista colombiana de matematicas
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D. K. Rao (1976)
Revista colombiana de matematicas
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Jaime Lesmes (1974)
Revista colombiana de matematicas
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J. W. Kitchen, D. A. Robbins (1993)
Revista colombiana de matematicas
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James Osterburg (1976)
Revista colombiana de matematicas
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Maria Joiţa, Mohammad Sal Moslehian (2012)
Studia Mathematica
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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 (2011)
Open Mathematics
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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.
T.V. Panchapagesan, Gilberto Gonzalez (1987)
Revista colombiana de matematicas
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David P. Blecher, Jon E. Kraus (2010)
Banach Center Publications
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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
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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]
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Jan Mycielski (1985)
Revista colombiana de matematicas
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Ives Lequin (1974)
Revista colombiana de matematicas
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Ali Ahmad Fora (1984)
Revista colombiana de matematicas
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F.William Lawvere (1986)
Revista colombiana de matematicas
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Nelo Allan (1970)
Revista colombiana de matematicas
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