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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:

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  • 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