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Andruchow, E.; Corach, G.; Stojanoff, D. "Projective spaces of a C*-algebra" (2000) Integral Equations and Operator Theory. 37(2):143-168
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Abstract:

Based on the projective matrix spaces studied by B. Schwarz and A. Zaks, we study the notion of projective space associated to a C*-algebra A with a fixed projection p. The resulting space P(p) admits a rich geometrical structure as a holomorphic manifold and a homogeneous reductive space of the invertible group of A. Moreover, several metrics (chordal, spherical, pseudo-chordal, non-Euclidean - in Schwarz-Zaks terminology) are considered, allowing a comparison among P(p), the Grassmann manifold of A and the space of positive elements which are unitary with respect to the bilinear form induced by the reflection ε = 2p - 1. Among several metrical results, we prove that geodesics are unique and of minimal length when measured with the spherical and non-Euclidean metrics.

Registro:

Documento: Artículo
Título:Projective spaces of a C*-algebra
Autor:Andruchow, E.; Corach, G.; Stojanoff, D.
Filiación:Instituto de Ciencias, UNGS, San Miguel, Argentina
Depto. de Matemática, FCEN-UBA, Buenos Aires, Argentina
Inst. Argentino de Matemática, Buenos Aires, Argentina
Depto. de Matemática, FCE-UNLP, La Plata, Argentina
Año:2000
Volumen:37
Número:2
Página de inicio:143
Página de fin:168
DOI: http://dx.doi.org/10.1007/BF01192421
Título revista:Integral Equations and Operator Theory
Título revista abreviado:Integr. Equ. Oper. Theory
ISSN:0378620X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v37_n2_p143_Andruchow

Referencias:

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Citas:

---------- APA ----------
Andruchow, E., Corach, G. & Stojanoff, D. (2000) . Projective spaces of a C*-algebra. Integral Equations and Operator Theory, 37(2), 143-168.
http://dx.doi.org/10.1007/BF01192421
---------- CHICAGO ----------
Andruchow, E., Corach, G., Stojanoff, D. "Projective spaces of a C*-algebra" . Integral Equations and Operator Theory 37, no. 2 (2000) : 143-168.
http://dx.doi.org/10.1007/BF01192421
---------- MLA ----------
Andruchow, E., Corach, G., Stojanoff, D. "Projective spaces of a C*-algebra" . Integral Equations and Operator Theory, vol. 37, no. 2, 2000, pp. 143-168.
http://dx.doi.org/10.1007/BF01192421
---------- VANCOUVER ----------
Andruchow, E., Corach, G., Stojanoff, D. Projective spaces of a C*-algebra. Integr. Equ. Oper. Theory. 2000;37(2):143-168.
http://dx.doi.org/10.1007/BF01192421