메뉴 건너뛰기




Volumn 44, Issue 6, 2012, Pages 1085-1102

Unitary orbits of Hermitian operators with convex or concave functions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84869471130     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: 10.1112/blms/bds080     Document Type: Article
Times cited : (95)

References (27)
  • 1
    • 0000390474 scopus 로고
    • Comparison of norms |||f(A) f(B)||| and -f(|A B|)|||
    • T. Ando, 'Comparison of norms |||f(A) f(B)||| and -f(|A B|)|||', Math.Z. 197 (1988) 403-409.
    • (1988) Math. Z. , vol.197 , pp. 403-409
    • Ando, T.1
  • 2
    • 0033266641 scopus 로고    scopus 로고
    • Norm inequalities related to operator monotone functions
    • T. Ando and X. Zhan, 'Norm inequalities related to operator monotone functions', Math. Ann. 315 (1999) 771-780.
    • (1999) Math. Ann. , vol.315 , pp. 771-780
    • Ando, T.1    Zhan, X.2
  • 3
    • 85027234496 scopus 로고    scopus 로고
    • On norm sub-additivity and super-additivity inequalities for concave and convex functions
    • K. Audenaert and J.S. Aujla, 'On norm sub-additivity and super-additivity inequalities for concave and convex functions', Linear Multilinear Algebra, to appear.
    • Linear Multilinear Algebra, to Appear
    • Audenaert, K.1    Aujla, J.S.2
  • 4
    • 34247897208 scopus 로고    scopus 로고
    • Eigenvalue inequalities for convex and log-convex functions
    • DOI 10.1016/j.laa.2006.02.027, PII S0024379506001261
    • J.S. Aujla and J.-C. Bourin, 'Eigenvalues inequalities for convex and log-convex functions', Linear Algebra Appl. 424 (2007) 25-35. (Pubitemid 46693900)
    • (2007) Linear Algebra and Its Applications , vol.424 , Issue.1 , pp. 25-35
    • Aujla, J.S.1    Bourin, J.-C.2
  • 5
    • 0037706796 scopus 로고    scopus 로고
    • Weak majorization inequalities and convex functions
    • J.S. Aujla and F.C. Silva, 'Weak majorization inequalities and convex functions', Linear Algebra Appl. 369 (2003) 217-233.
    • (2003) Linear Algebra Appl. , vol.369 , pp. 217-233
    • Aujla, J.S.1    Silva, F.C.2
  • 7
    • 12144272165 scopus 로고    scopus 로고
    • Convexity or concavity inequalities for Hermitian operators
    • J.-C. Bourin, 'Convexity or concavity inequalities for Hermitian operators', Math. Inequal. Appl. 7 (2004) 607-620. (Pubitemid 40105655)
    • (2004) Mathematical Inequalities and Applications , vol.7 , Issue.4 , pp. 607-620
    • Bourin, J.-C.1
  • 8
    • 29344434266 scopus 로고    scopus 로고
    • Hermitian operators and convex functions
    • Article 139
    • J.-C. Bourin, 'Hermitian operators and convex functions', J. Inequal. Pure Appl. Math. 6 (2005) Article 139, 6 p.
    • (2005) J. Inequal. Pure Appl. Math. , vol.6 , pp. 6
    • Bourin, J.-C.1
  • 9
    • 29344432991 scopus 로고    scopus 로고
    • A concavity inequality for symmetric norms
    • DOI 10.1016/j.laa.2005.09.007, PII S0024379505004374
    • J.-C. Bourin, 'A concavity inequality for symmetric norms', Linear Algebra Appl. 413 (2006) 212-217. (Pubitemid 43003877)
    • (2006) Linear Algebra and Its Applications , vol.413 , Issue.1 , pp. 212-217
    • Bourin, J.-C.1
  • 10
    • 80052101887 scopus 로고    scopus 로고
    • Norm and anti-norm inequalities for positive semi-definite matrices
    • J.-C. Bourin and F. Hiai, 'Norm and anti-norm inequalities for positive semi-definite matrices', Internat.J. Math. 63 (2011) 1121-1138.
    • (2011) Internat.J. Math. , vol.63 , pp. 1121-1138
    • Bourin, J.-C.1    Hiai, F.2
  • 11
    • 84869468496 scopus 로고    scopus 로고
    • Jensen and Minkowski inequalities for operator means and anti-norms
    • arXiv:1106.2213v3
    • J.-C. Bourin and F. Hiai, 'Jensen and Minkowski inequalities for operator means and anti-norms', Preprint, 2011, arXiv:1106.2213v3.
    • (2011) Preprint
    • Bourin, J.-C.1    Hiai, F.2
  • 12
    • 77955043416 scopus 로고    scopus 로고
    • Concave functions of positive operators, sums, and congruences
    • J.-C. Bourin and E.-Y. Lee, 'Concave functions of positive operators, sums, and congruences', J. Operator Theory 63 (2010) 151-157.
    • (2010) J. Operator Theory , vol.63 , pp. 151-157
    • Bourin, J.-C.1    Lee, E.-Y.2
  • 13
    • 77953139789 scopus 로고    scopus 로고
    • An asymmetric Kadison's inequality
    • J.-C. Bourin and E. Ricard, 'An asymmetric Kadison's inequality', Linear Algebra Appl. 433 (2010) 499-510.
    • (2010) Linear Algebra Appl. , vol.433 , pp. 499-510
    • Bourin, J.-C.1    Ricard, E.2
  • 14
    • 34047143221 scopus 로고    scopus 로고
    • A matrix subadditivity inequality for f(A + B) and f(A) + f(B
    • J.-C. Bourin and M. Uchiyama, 'A matrix subadditivity inequality for f(A + B) and f(A) + f(B)', Linear Algebra Appl. 423 (2007) 512-518.
    • (2007) Linear Algebra Appl. , vol.423 , pp. 512-518
    • Bourin, J.-C.1    Uchiyama, M.2
  • 15
    • 0037864035 scopus 로고
    • Jensen's inequality in semi-finite von Neumann algebras
    • L.G. Brown and H. Kosaki, 'Jensen's inequality in semi-finite von Neumann algebras', J. Operator Theory 23 (1990) 3-19.
    • (1990) J. Operator Theory , vol.23 , pp. 3-19
    • Brown, L.G.1    Kosaki, H.2
  • 16
    • 84972517904 scopus 로고
    • A Schwarz inequality for positive linear maps on C algebras
    • M.-D. Choi, 'A Schwarz inequality for positive linear maps on C algebras', Illinois J. Math. 18 (1974) 565-574.
    • (1974) Illinois J. Math. , vol.18 , pp. 565-574
    • Choi, M.-D.1
  • 17
    • 84968490725 scopus 로고
    • A Schwarz inequality for convex operator functions
    • C. Davis, 'A Schwarz inequality for convex operator functions', Proc. Amer. Math. Soc. 8 (1957) 42-44.
    • (1957) Proc. Amer. Math. Soc. , vol.8 , pp. 42-44
    • Davis, C.1
  • 18
    • 0000667789 scopus 로고
    • An operator inequality
    • F. Hansen, 'An operator inequality', Math. Ann. 246 (1979/80) 249-250.
    • (1979) Math. Ann. , vol.246 , Issue.80 , pp. 249-250
    • Hansen, F.1
  • 19
    • 0003316037 scopus 로고
    • Jensen's inequality for operators and Lowner's theorem
    • F. Hansen and G.K. Pedersen, 'Jensen's inequality for operators and Lowner's theorem', Math. Ann. 258 (1982) 229-241.
    • (1982) Math. Ann. , vol.258 , pp. 229-241
    • Hansen, F.1    Pedersen, G.K.2
  • 21
    • 80052056271 scopus 로고    scopus 로고
    • Matrix analysis: Matrix monotone functions, matrix means, and majorization (GSIS selected lectures)
    • F. Hiai, 'Matrix analysis: matrix monotone functions, matrix means, and majorization' (GSIS selected lectures), Interdiscip. Inform. Sci. 16 (2010) 139-248.
    • (2010) Interdiscip. Inform. Sci. , vol.16 , pp. 139-248
    • Hiai, F.1
  • 22
    • 79955811714 scopus 로고    scopus 로고
    • Extension of Rotfeld theorem
    • E.-Y. Lee, 'Extension of Rotfeld theorem', Linear Algebra Appl. 435 (2010) 735-741.
    • (2010) Linear Algebra Appl. , vol.435 , pp. 735-741
    • Lee, E.-Y.1
  • 23
    • 84866989807 scopus 로고    scopus 로고
    • How to compare the absolute values of operator sums and the sums of absolute values?
    • E.-Y. Lee, 'How to compare the absolute values of operator sums and the sums of absolute values?', Operator Matrices 6 (2012) 613-619.
    • (2012) Operator Matrices , vol.6 , pp. 613-619
    • Lee, E.-Y.1
  • 24
    • 0013314516 scopus 로고
    • Concavity of monotone matrix functions of finite order
    • R. Mathias, 'Concavity of monotone matrix functions of finite order', Linear Multilinear Algebra 27 (1990) 129-138.
    • (1990) Linear Multilinear Algebra , vol.27 , pp. 129-138
    • Mathias, R.1
  • 26
    • 84968466834 scopus 로고
    • Positive functions on C algebras
    • W.F. Stinespring, 'Positive functions on C algebras', Proc. Amer. Math. Soc. 6 (1955) 211-216.
    • (1955) Proc. Amer. Math. Soc. , vol.6 , pp. 211-216
    • Stinespring, W.F.1
  • 27
    • 84972517879 scopus 로고
    • Convex and concave functions of singular values of matrix sums
    • R.C. Thompson, 'Convex and concave functions of singular values of matrix sums', Pacific J. Math. 66 (1976) 285-290.
    • (1976) Pacific J. Math. , vol.66 , pp. 285-290
    • Thompson, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.