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Models and resolutions for Hilbert modules. (English) Zbl 0833.46039
Curto, Raúl E. (ed.) et al., Multivariable operator theory. A joint summer research conference on multivariable operator theory, July 10-18, 1993, University of Washington, Seattle, WA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 185, 109-131 (1995).
L’A. expose les résultats connus concernant les modules d’Hilbert. Il examine les propriétés intéressant la théorie des opérateurs à plusieurs variables (les applications à l’analyse sont particulièrement développées), les propriétés locales des modules d’Hilbert (et, par suite, leurs propriétés globales). Il s’agit, donc, d’une mise au point très pertinente.
For the entire collection see [Zbl 0819.00022].
MSC:
46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
46J99 Commutative Banach algebras and commutative topological algebras
46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.)
32A35 \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
47B20 Subnormal operators, hyponormal operators, etc.
47B38 Linear operators on function spaces (general)
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