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Volumn 12, Issue 3, 2009, Pages 519-523

A sharp converse inequality of three weighted arithmetic and geometric means of positive definite operators

Author keywords

Matrix inequality; Positive definite matrix; Specht ratio; Symmetrization method; Weighted matrix means

Indexed keywords


EID: 68649090019     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-12-40     Document Type: Article
Times cited : (1)

References (8)
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    • M. AUĆ, PS. BULLEN, J. PEČARIĆ AND V. VOLENEC, On the geometric-arithmetic mean inequality for matrices, Math Communication 2 (1997), 125-128.
  • 3
    • 84972570848 scopus 로고
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    • 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
  • 4
    • 34547855171 scopus 로고    scopus 로고
    • A converse inequality of higher-order weighted arithmetic and geometric means of positive definite operators
    • S. KIM AND Y. LIM, A converse inequality of higher-order weighted arithmetic and geometric means of positive definite operators, Linear Algebra and Appl. 426 (2007), 490-496.
    • (2007) Linear Algebra and Appl , vol.426 , pp. 490-496
    • KIM, S.1    LIM, Y.2
  • 5
    • 68649099496 scopus 로고    scopus 로고
    • Higher order weighted matrix means and related matrix inequalities
    • submitted
    • J. LAWSON AND Y. LIM, Higher order weighted matrix means and related matrix inequalities, submitted.
    • LAWSON, J.1    LIM, Y.2
  • 6
    • 68649083776 scopus 로고    scopus 로고
    • J. PEČARIĆ, Power matrix means and related inequalities, Math. Commun. 1 (1996), 91-112.
    • J. PEČARIĆ, Power matrix means and related inequalities, Math. Commun. 1 (1996), 91-112.
  • 7
    • 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
  • 8
    • 33646933575 scopus 로고    scopus 로고
    • An extension of Kantorovìch inequality to n -operators via the geometric mean by Ando-U-Mathias
    • T. YAMAZAKI, An extension of Kantorovìch inequality to n -operators via the geometric mean by Ando-U-Mathias, Linear Algebra Appl. 416 (2006), 688-695.
    • (2006) Linear Algebra Appl , vol.416 , pp. 688-695
    • YAMAZAKI, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.