Registro:
Documento: |
Artículo
|
Título: | Differential and metrical structure of positive operators |
Autor: | Corach, G.; Maestripieri, A.L. |
Filiación: | Instituto Argentino de Matemática, Saavedra 15 - 3er. Piso, 1083 Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas y Naturales - UBA, Ciudad Universitaria, 1428 Buenos Aires, Argentina
|
Palabras clave: | Differential geometry; Finsler metric; Positive operators; Thompson part metric |
Año: | 1999
|
Volumen: | 3
|
Número: | 4
|
Página de inicio: | 297
|
Página de fin: | 315
|
DOI: |
http://dx.doi.org/10.1023/A:1009781308281 |
Título revista: | Positivity
|
Título revista abreviado: | Positivity
|
ISSN: | 13851292
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13851292_v3_n4_p297_Corach |
Referencias:
- Amari, S., Differential geometry of curved exponential families-curvatures and information loss (1982) Annals of Statistics, 10, pp. 357-385
- Ando, T., Topics on operator inequalities (1978) Lecture Notes, , Hokkaido University, Sapporo
- Ando, T., Lebesgue-type decomposition of positive operators (1976) Acta Sci. Math., 38, pp. 253-260
- Andruchow, E., Corach, G., Milman, M., Stojanoff, D., Geodesies and interpolation (1997) Rev. U.M.A., 40 (3-4), pp. 83-91
- Bauer, H., Bear, H.S., The part metric in convex sets (1969) Pacific J. Math., 30, pp. 15-33
- Bear, H.S., A geometric characterization of Gleason parts (1963) Proc. Amer. Math. Soc., 16, pp. 407-412
- Birkhoff, G., Extensions of Jentzsch's theorem (1957) Trans. Amer. Math. Soc., 85, pp. 219-227
- Bushell, P.J., Hilbert's metric and positive contraction mappings in a Banach space (1973) Arch. Rat. Mech. Anal., 52, pp. 330-338
- Coifman, R.R., Semmes, S., Interpolation of Banach spaces, Perron Processes and Yang-Mills (1993) Amer. J. Math., 115, pp. 243-278
- Corach, G., Operator inequalities, geodesies and interpolation, Functional Analysis and Operator Theory (1994) Banach Center Publications, 30, pp. 101-115
- Corach, G., Porta, H., Recht, L., A geometric interpolation of Segal's inequality (1992) Proc. Amer. Math. Soc., 115, pp. 229-231
- Corach, G., Porta, H., Recht, E., The geometry of spaces of selfadjoint invertible elements of a C*-algebra (1993) Integral Equations and Operator Theory, 16, pp. 333-359
- Danes, J., The Hilbert projective metric and an equation in a C*-algebra (1987) Czechoslovak Math. J., 37, pp. 522-531
- Dittman, J., Rudolph, G., A class of connections governing parallel transport along density matrices (1992) J. Math. Phys., 33, pp. 4148-4154
- Douglas, R.G., On majorization, factorization and range inclusion of operators in Hilbert space (1966) Proc. Amer. Math. Soc., 17, pp. 413-416
- Hilbert, E.D., Neue Begaündung der Bolya-Lobatschefskyschen Geometrie (1903) Math. Ann., 57, pp. 137-150
- Kadison, R., Ringrose, J., (1983) Fundamentals of the Theory of Operator Algebras, 1. , Academic Press, New York, London
Citas:
---------- APA ----------
Corach, G. & Maestripieri, A.L.
(1999)
. Differential and metrical structure of positive operators. Positivity, 3(4), 297-315.
http://dx.doi.org/10.1023/A:1009781308281---------- CHICAGO ----------
Corach, G., Maestripieri, A.L.
"Differential and metrical structure of positive operators"
. Positivity 3, no. 4
(1999) : 297-315.
http://dx.doi.org/10.1023/A:1009781308281---------- MLA ----------
Corach, G., Maestripieri, A.L.
"Differential and metrical structure of positive operators"
. Positivity, vol. 3, no. 4, 1999, pp. 297-315.
http://dx.doi.org/10.1023/A:1009781308281---------- VANCOUVER ----------
Corach, G., Maestripieri, A.L. Differential and metrical structure of positive operators. Positivity. 1999;3(4):297-315.
http://dx.doi.org/10.1023/A:1009781308281