메뉴 건너뛰기




Volumn 128, Issue 4, 2000, Pages 1031-1037

Geometrical significance of the löwner-heinz inequality

Author keywords

[No Author keywords available]

Indexed keywords


EID: 23044518492     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-05085-6     Document Type: Article
Times cited : (42)

References (18)
  • 2
    • 0002393367 scopus 로고
    • Functional Analysis and Operator Theory, Banach Center Publications, Polish Academy of Sciences, Warszawa, MR 95d:58009
    • G. Corach, "Operator inequalities, geodesies and interpolation", Functional Analysis and Operator Theory, Banach Center Publications, Vol. 30, Polish Academy of Sciences, Warszawa, 1994, pp. 101-115. MR 95d:58009
    • (1994) Operator Inequalities, Geodesies and Interpolation , vol.30 , pp. 101-115
    • Corach, G.1
  • 4
    • 0001670911 scopus 로고
    • "The geometry of the space of selfadjoint invertible elements in a C*-algebras"
    • MR 94d:58010
    • G. Corach, H. Porta, L. Recht, "The geometry of the space of selfadjoint invertible elements in a C*-algebras", Integral Equations Operator Theory 16 (1993), 333-359. MR 94d:58010
    • (1993) Integral Equations Operator Theory , vol.16 , pp. 333-359
    • Corach, G.1    Porta, H.2    Recht, L.3
  • 5
    • 0007460916 scopus 로고
    • "Geodesies and operator means in the space of positive operators"
    • MR 94c:46114
    • G. Corach, H. Porta, L. Recht, "Geodesies and operator means in the space of positive operators", Internat. J. Math. 4 (1993), 193-202. MR 94c:46114
    • (1993) Internat. J. Math. , vol.4 , pp. 193-202
    • Corach, G.1    Porta, H.2    Recht, L.3
  • 6
    • 84972570848 scopus 로고
    • "Convexity of the geodesic distance on spaces of positive operators"
    • MR 941:58010
    • G. Corach, H. Porta, L. Recht, "Convexity of the geodesic distance on spaces of positive operators", Illinois J. Math. 38 (1994), 87-94. MR 941:58010
    • (1994) Illinois J. Math. , vol.38 , pp. 87-94
    • Corach, G.1    Porta, H.2    Recht, L.3
  • 7
    • 0003370912 scopus 로고
    • "Spectral theory of linear differential operators and comparison algebras"
    • Cambridge University Press, MR 88g:35144
    • H.O. Cordes, "Spectral theory of linear differential operators and comparison algebras", London Mathematical Society Lecture Notes Series 76, Cambridge University Press, 1987. MR 88g:35144
    • (1987) London Mathematical Society Lecture Notes Series , vol.76
    • Cordes, H.O.1
  • 8
    • 0041118997 scopus 로고    scopus 로고
    • "Norm inequalities in the Corach-Porta-Recht theory and operator means"
    • MR 97i:47026
    • M. Fujii, T. Furuta, R. Nakamoto, "Norm inequalities in the Corach-Porta-Recht theory and operator means", Illinois J. Math. 40 (1996), 527-534. MR 97i:47026
    • (1996) Illinois J. Math. , vol.40 , pp. 527-534
    • Fujii, M.1    Furuta, T.2    Nakamoto, R.3
  • 9
    • 0011667588 scopus 로고
    • "Norm inequalities equivalent to Löwner-Heinz theorem"
    • MR 91b:47028
    • T. Furuta, "Norm inequalities equivalent to Löwner-Heinz theorem", Rev. Math. Phys. 1 (1989), 135-137. MR 91b:47028
    • (1989) Rev. Math. Phys. , vol.1 , pp. 135-137
    • Furuta, T.1
  • 11
    • 34250940948 scopus 로고
    • "Beiträge zur Storungstheorie der Spektralzerlegung"
    • MR 13:471f
    • E. Heinz, "Beiträge zur Storungstheorie der Spektralzerlegung", Math. Ann. 123 (1951), 415-438. MR 13:471f
    • (1951) Math. Ann. , vol.123 , pp. 415-438
    • Heinz, E.1
  • 15
    • 0012416217 scopus 로고
    • "Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations"
    • MR 95b:58010
    • R. Nussbaum, "Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations", Diff. Integral Equations 7 (1994), 1649-1707. MR 95b:58010
    • (1994) Diff. Integral Equations , vol.7 , pp. 1649-1707
    • Nussbaum, R.1
  • 16
    • 0000961620 scopus 로고
    • "Notes toward the construction of non linear relativistic quantum fields III"
    • MR 40:5217
    • I. Segal, "Notes toward the construction of non linear relativistic quantum fields III", Bull. Amer. Math. Soc. 75 (1969), 1390-1395. MR 40:5217
    • (1969) Bull. Amer. Math. Soc. , vol.75 , pp. 1390-1395
    • Segal, I.1
  • 17
    • 84966219504 scopus 로고
    • "On certain contraction mappings in a partially ordered vector space"
    • MR 26:6727
    • A.C. Thompson, "On certain contraction mappings in a partially ordered vector space", Proc. Amer. Math. Soc. 14 (1963), 438-443. MR 26:6727
    • (1963) Proc. Amer. Math. Soc. , vol.14 , pp. 438-443
    • Thompson, A.C.1
  • 18
    • 0013210690 scopus 로고
    • "Invariant metrics on convex cones"
    • MR 55:6206
    • E. Vesentini, "Invariant metrics on convex cones", Ann. Sc. Norm. Sup. Pisa (Ser. 4) 3 (1976), 671-696. MR 55:6206
    • (1976) Ann. Sc. Norm. Sup. Pisa (Ser. 4) , vol.3 , pp. 671-696
    • Vesentini, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.