메뉴 건너뛰기
Proceedings of the American Mathematical Society
Volumn 134, Issue 5, 2006, Pages 1405-1412
Subadditivity of eigenvalue sums
Author keywords

Operator convex function; Trace; Unitarily invariant norm
Indexed keywords

EID: 33646750345     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-05-08116-5     Document Type: Article
Times cited : (37)
References (10)
  • 1
    • 0000390474 scopus 로고
    • Comparison of norms |||f(A) - F(B)||| and |||f(|A - B|)|||
    • MR0926848 (90a:47021)
    • T. Ando, Comparison of norms |||f(A) - f(B)||| and |||f(|A - B|)|||, Math. Z., 197 (1988), 403-409. MR0926848 (90a:47021)
    • (1988) Math. Z. , vol.197 , pp. 403-409
    • Ando, T.1
  • 2
    • 0033266641 scopus 로고    scopus 로고
    • Norm inequalities related to operator monotone functions
    • MR1727183 (2000m:47008)
    • T. Ando, X. Zhan, Norm inequalities related to operator monotone functions, Math. Ann., 315 (1999), 771-780. MR1727183 (2000m:47008)
    • (1999) Math. Ann. , vol.315 , pp. 771-780
    • Ando, T.1    Zhan, X.2
  • 3
    • 0037706796 scopus 로고    scopus 로고
    • Weak majorization inequalities and convex functions
    • MR1988488 (2004g:47021)
    • J. S. Aujla, F. C. Silva, Weak majorization inequalities and convex functions, Linear Alg. App., 389 (2003), 217-233. MR1988488 (2004g:47021)
    • (2003) Linear Alg. App. , vol.389 , pp. 217-233
    • Aujla, J.S.1    Silva, F.C.2
  • 4
    • 0004151496 scopus 로고    scopus 로고
    • Springer-Verlag, MR1477662 (98i:15003)
    • R. Bhatia, Matrix Analysis, Springer-Verlag, 1997, MR1477662 (98i:15003)
    • (1997) Matrix Analysis
    • Bhatia, R.1
  • 5
    • 0033470794 scopus 로고    scopus 로고
    • Some inequalities for norms on matrices and operators
    • MR1689308 (2000b:47022)
    • J. C. Bourin, Some inequalities for norms on matrices and operators, Linear Alg. Appl., 292 (1999), 139-154. MR1689308 (2000b:47022)
    • (1999) Linear Alg. Appl. , vol.292 , pp. 139-154
    • Bourin, J.C.1
  • 6
    • 0003316037 scopus 로고
    • Jensen's inequality for operators and Löwner's theorem
    • MR0649196 (83g:47020)
    • F. Hansen, G. K. Pedersen, Jensen's inequality for operators and Löwner's theorem, Math. Ann., 258 (1982), 229-241. MR0649196 (83g:47020)
    • (1982) Math. Ann. , vol.258 , pp. 229-241
    • Hansen, F.1    Pedersen, G.K.2
  • 7
    • 0041467918 scopus 로고
    • Convexity and concavity of eigenvalue sums
    • MR1116035 (92j:15010)
    • E. Lieb, H. Siedentop, Convexity and concavity of eigenvalue sums, J. Statistical Physics, 63 (1991), 811-816. MR1116035 (92j:15010)
    • (1991) J. Statistical Physics , vol.63 , pp. 811-816
    • Lieb, E.1    Siedentop, H.2
  • 8
    • 33646741724 scopus 로고
    • Remarks on the singular numbers of a sum of completely continuous operators
    • S. Y. Rotfel'd, Remarks on the singular numbers of a sum of completely continuous operators, Functional Anal. Appl., 1 (1967), 252-253.
    • (1967) Functional Anal. Appl. , vol.1 , pp. 252-253
    • Rotfel'd, S.Y.1
  • 9
    • 84972517879 scopus 로고
    • Convex and concave functions of singular values of matrix sums
    • MR0435104 (55:8066)
    • R. C. Thompson, Convex and concave functions of singular values of matrix sums, Pacific J. of Math., 68 (1976), 285-290. MR0435104 (55:8066)
    • (1976) Pacific J. of Math. , vol.68 , pp. 285-290
    • Thompson, R.C.1
  • 10
    • 0242382101 scopus 로고    scopus 로고
    • Inverse functions of polynomials and orthogonal polynomials as operator monotone functions
    • MR1990577 (2004g:47024)
    • M. Uchiyama, Inverse functions of polynomials and orthogonal polynomials as operator monotone functions, Trans. Amer. Math. Soc., 355 (2004), 4111-4123. MR1990577 (2004g:47024)
    • (2004) Trans. Amer. Math. Soc. , vol.355 , pp. 4111-4123
    • Uchiyama, M.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.