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Volumn 44, Issue 4, 2007, Pages 795-816

Metric convexity of symmetric cones

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EID: 39749192606     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (47)

References (30)
  • 1
    • 0003030934 scopus 로고
    • A Gelfand-Neumark theorem for Jordan algebras
    • E.M. Alfsen, F.W. Shultz and E. Størmer: A Gelfand-Neumark theorem for Jordan algebras, Advances in Math. 28 (1978), 11-56.
    • (1978) Advances in Math , vol.28 , pp. 11-56
    • Alfsen, E.M.1    Shultz, F.W.2    Størmer, E.3
  • 2
  • 3
    • 23044518492 scopus 로고    scopus 로고
    • Geometrical significance of Löwner-Heinz inequality
    • E. Andruchow, G. Corach and D. Stojanoff: Geometrical significance of Löwner-Heinz inequality, Proc. Amer. Math. Soc. 128 (2000), 1031-1037.
    • (2000) Proc. Amer. Math. Soc , vol.128 , pp. 1031-1037
    • Andruchow, E.1    Corach, G.2    Stojanoff, D.3
  • 4
    • 39749101102 scopus 로고    scopus 로고
    • Löwner's theorem and the differential geometry of the space positive operators
    • preprint
    • E. Andruchow, G. Corach, and D. Stojanoff: Löwner's theorem and the differential geometry of the space positive operators, preprint.
    • Andruchow, E.1    Corach, G.2    Stojanoff, D.3
  • 6
    • 0142094477 scopus 로고    scopus 로고
    • On the exponential metric increasing property
    • R. Bhatia: On the exponential metric increasing property, Linear Algebra Appl. 375 (2003), 211-220.
    • (2003) Linear Algebra Appl , vol.375 , pp. 211-220
    • Bhatia, R.1
  • 7
    • 0001007428 scopus 로고
    • A holomorphic characterization of Jordan C*-algebras
    • R. Braun, W. Kaup and H. Upmeier: A holomorphic characterization of Jordan C*-algebras, Math. Z. 161 (1978), 277-290.
    • (1978) Math. Z , vol.161 , pp. 277-290
    • Braun, R.1    Kaup, W.2    Upmeier, H.3
  • 8
    • 0003810732 scopus 로고    scopus 로고
    • Metric Spaces of Non-Positive Curvature, Grundlehren der Math
    • Springer, Berlin
    • M.R. Bridson and A. Haefliger: Metric Spaces of Non-Positive Curvature, Grundlehren der Math. Wissenschaft 319, Springer, Berlin, 1999.
    • (1999) Wissenschaft , vol.319
    • Bridson, M.R.1    Haefliger, A.2
  • 9
    • 84972570848 scopus 로고
    • Convexity of the geodesic distance on spaces of positive operators
    • G. Corach, H. Porta and L. Recht: Convexity of the geodesic distance on spaces of positive operators, Illinois J. Math. 38 (1994), 87-94.
    • (1994) Illinois J. Math , vol.38 , pp. 87-94
    • Corach, G.1    Porta, H.2    Recht, L.3
  • 11
    • 84968476176 scopus 로고
    • {p+2r)q for r ≥ 0, p ≥ 0, q ≥ 1 with (1 + 2r)q ≥ p + 2r
    • {p+2r)q for r ≥ 0, p ≥ 0, q ≥ 1 with (1 + 2r)q ≥ p + 2r, Proc. Amer. Math. Soc. 101 (1987), 85-88.
    • (1987) Proc. Amer. Math. Soc , vol.101 , pp. 85-88
    • Furuta, T.1
  • 14
    • 85053840099 scopus 로고    scopus 로고
    • Symmetric sets with midpoints and algebraically equivalent theories
    • J. Lawson and Y. Lim: Symmetric sets with midpoints and algebraically equivalent theories, Results Math. 46 (2004), 37-56.
    • (2004) Results Math , vol.46 , pp. 37-56
    • Lawson, J.1    Lim, Y.2
  • 15
    • 33646535225 scopus 로고    scopus 로고
    • Means on dyadic symmetric sets and polar decompositions
    • J. Lawson and Y. Lim: Means on dyadic symmetric sets and polar decompositions, Abh. Math. Sem. Univ. Hamburg 74 (2004), 135-150.
    • (2004) Abh. Math. Sem. Univ. Hamburg , vol.74 , pp. 135-150
    • Lawson, J.1    Lim, Y.2
  • 16
    • 34848813795 scopus 로고    scopus 로고
    • Symmetric spaces with convex metrics
    • to appear
    • J. Lawson and Y. Lim: Symmetric spaces with convex metrics, to appear, Forum Math.
    • Forum Math
    • Lawson, J.1    Lim, Y.2
  • 17
    • 33644869238 scopus 로고    scopus 로고
    • Solving symmetric matrix word equations via symmetric space machinery
    • J. Lawson and Y. Lim: Solving symmetric matrix word equations via symmetric space machinery, Linear Algebra Appl. 414 (2006), 560-569.
    • (2006) Linear Algebra Appl , vol.414 , pp. 560-569
    • Lawson, J.1    Lim, Y.2
  • 18
    • 0039608162 scopus 로고    scopus 로고
    • Finsler metrics on symmetric cones
    • Y. Lim: Finsler metrics on symmetric cones, Math. Ann. 316 (2000), 379-389.
    • (2000) Math. Ann , vol.316 , pp. 379-389
    • Lim, Y.1
  • 19
    • 0034346424 scopus 로고    scopus 로고
    • Geometric means on symmetric cones
    • Y. Lim: Geometric means on symmetric cones, Arch. Math. (Basel) 75 (2000), 39-45.
    • (2000) Arch. Math. (Basel) , vol.75 , pp. 39-45
    • Lim, Y.1
  • 20
    • 0035585082 scopus 로고    scopus 로고
    • Applications of geometric means on symmetric cones
    • Y. Lim: Applications of geometric means on symmetric cones, Math. Ann. 319 (2001), 457-468.
    • (2001) Math. Ann , vol.319 , pp. 457-468
    • Lim, Y.1
  • 21
    • 39749168269 scopus 로고
    • Symmetric Spaces
    • W.A. Benjamin, Inc, New York-Amsterdam
    • O. Loos: Symmetric Spaces, I: General Theory, W.A. Benjamin, Inc., New York-Amsterdam, 1969.
    • (1969) General Theory
    • Loos, O.1
  • 22
    • 0036439384 scopus 로고    scopus 로고
    • A Cartan-Hadamard theorem for Banach-Finsler manifolds
    • K.-H. Neeb: A Cartan-Hadamard theorem for Banach-Finsler manifolds, Geom. Dedicata 95 (2002), 115-156.
    • (2002) Geom. Dedicata , vol.95 , pp. 115-156
    • Neeb, K.-H.1
  • 24
    • 0012416217 scopus 로고
    • Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations
    • R.D. Nussbaum: Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations, Differential Integral Equations 7 (1994), 1649-1707.
    • (1994) Differential Integral Equations , vol.7 , pp. 1649-1707
    • Nussbaum, R.D.1
  • 26
    • 84972550453 scopus 로고
    • Symmetry in complex involutorv Banach algebras II
    • S. Shirali and J.W.M. Ford: Symmetry in complex involutorv Banach algebras II, Duke Math. J. 37 (1970), 275-280.
    • (1970) Duke Math. J , vol.37 , pp. 275-280
    • Shirali, S.1    Ford, J.W.M.2
  • 27
    • 84966219504 scopus 로고
    • On certain contraction mappings in a partially ordered vector space
    • A.C. Thompson: On certain contraction mappings in a partially ordered vector space, Proc. Amer. Math. soc. 14 (1963), 438-443.
    • (1963) Proc. Amer. Math. soc , vol.14 , pp. 438-443
    • Thompson, A.C.1
  • 28
    • 33745981117 scopus 로고    scopus 로고
    • The Furuta inequality in Banach *-algebras
    • K. Tanahashi and A. Uchiyama: The Furuta inequality in Banach *-algebras, Proc. Amer. Math. Soc. 128 (2000), 1691-1695.
    • (2000) Proc. Amer. Math. Soc , vol.128 , pp. 1691-1695
    • Tanahashi, K.1    Uchiyama, A.2
  • 30
    • 0000011666 scopus 로고
    • Jordan C*-algebras
    • J.D.M. Wright: Jordan C*-algebras, Michigan Math. J. 24 (1977), 291-302.
    • (1977) Michigan Math. J , vol.24 , pp. 291-302
    • Wright, J.D.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.