Artículo

Andrughow, E.; Corach, G.; Stojanoff, D. "Geometry of the sphere of a Hilbert module" (1999) Mathematical Proceedings of the Cambridge Philosophical Society. 127(2):295-315
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Abstract:

The sphere SX = {x ∈ X:〈x, x〉 = 1} of a right Hilbert C*-module X over a unital C*-algebra B is studied using differential geometric techniques. An action of the unitary group of the algebra ℒ B(X) of adjointable B-module operators of X makes SX a homogeneous space of this group. A reductive structure is introduced, as well as a Finsler metric. Metric properties of the geodesic curves are established. In the case B a von Neumann algebra and X self-dual, the fundamental group of SX is computed. © 1999 Cambridge Philosophical Society.

Registro:

Documento: Artículo
Título:Geometry of the sphere of a Hilbert module
Autor:Andrughow, E.; Corach, G.; Stojanoff, D.
Filiación:Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.A. Roca 850, 1663 San Miguel, Argentina
Instituto Argentino de Matemática, Saavedra 15, 1083 Buenos Aires, Argentina
Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Año:1999
Volumen:127
Número:2
Página de inicio:295
Página de fin:315
Título revista:Mathematical Proceedings of the Cambridge Philosophical Society
Título revista abreviado:Math. Proc. Camb. Philos. Soc.
ISSN:03050041
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03050041_v127_n2_p295_Andrughow

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Citas:

---------- APA ----------
Andrughow, E., Corach, G. & Stojanoff, D. (1999) . Geometry of the sphere of a Hilbert module. Mathematical Proceedings of the Cambridge Philosophical Society, 127(2), 295-315.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03050041_v127_n2_p295_Andrughow [ ]
---------- CHICAGO ----------
Andrughow, E., Corach, G., Stojanoff, D. "Geometry of the sphere of a Hilbert module" . Mathematical Proceedings of the Cambridge Philosophical Society 127, no. 2 (1999) : 295-315.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03050041_v127_n2_p295_Andrughow [ ]
---------- MLA ----------
Andrughow, E., Corach, G., Stojanoff, D. "Geometry of the sphere of a Hilbert module" . Mathematical Proceedings of the Cambridge Philosophical Society, vol. 127, no. 2, 1999, pp. 295-315.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03050041_v127_n2_p295_Andrughow [ ]
---------- VANCOUVER ----------
Andrughow, E., Corach, G., Stojanoff, D. Geometry of the sphere of a Hilbert module. Math. Proc. Camb. Philos. Soc. 1999;127(2):295-315.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03050041_v127_n2_p295_Andrughow [ ]