Adjointability of operators on Hilbert -modules.
Manuilov, V.M. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “The Atkinson theorem in Hilbert -modules over -algebras of compact operators.”
Adjointability of operators on Hilbert -modules.
C-Fredholm operators (IV).
Hari Bercovici (1990)
Publicacions Matemàtiques
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The purpose of this paper is to develop, in the context of operators of class C, a theory of Fredholm complexes analogous to that in [6], including an index stability result under perturbations. As a by-product, a simple proof of the additivity of the index for C-Fredholm operators will be given.
On full Hilbert -modules.
Moslehian, Mohammad Sal (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Remark on an operator inequality
Dan Kucerovsky (2001)
Mathematica Slovaca
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The geometry of Kato Grassmannians
Bogdan Bojarski, Giorgi Khimshiashvili (2005)
Open Mathematics
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We discuss Fredholm pairs of subspaces and associated Grassmannians in a Hilbert space. Relations between several existing definitions of Fredholm pairs are established as well as some basic geometric properties of the Kato Grassmannian. It is also shown that the so-called restricted Grassmannian can be endowed with a natural Fredholm structure making it into a Fredholm Hilbert manifold.
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]
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A note on a theorem of Vidav
Vladimir Rakočević (2000)
Publications de l'Institut Mathématique
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Approximation by Fredholm operators in the metric space of closed operators
L. A. Coburn, A. Lebow (1966)
Rendiconti del Seminario Matematico della Università di Padova
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On multipliers of Hilbert modules over pro-C*-algebras
Maria Joiţa (2008)
Studia Mathematica
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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).
Normal Hilbert modules over the ball algebra A(B)
Kunyu Guo (1999)
Studia Mathematica
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The normal cohomology functor is introduced from the category of all normal Hilbert modules over the ball algebra to the category of A(B)-modules. From the calculation of -groups, we show that every normal C(∂B)-extension of a normal Hilbert module (viewed as a Hilbert module over A(B) is normal projective and normal injective. It follows that there is a natural isomorphism between Hom of normal Shilov modules and that of their quotient modules, which is a new lifting theorem of normal...
Generalized n-circular projections on JB*-triples and Hilbert C0(Ω)-modules
Dijana Ilišević, Chih-Neng Liu, Ngai-Ching Wong (2017)
Concrete Operators
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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). ...
A Morita equivalence for Hilbert C*-modules
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.