메뉴 건너뛰기
Journal of Functional Analysis
Volumn 156, Issue 2, 1998, Pages 429-451
Arithmetic-Geometric Mean and Related Inequalities for Operators
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0008984626     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1998.3258     Document Type: Article
Times cited : (90)
References (18)
  • 1
    • 21344478420 scopus 로고
    • Majorizations and inequalities in matrix theory
    • Ando T. Majorizations and inequalities in matrix theory. Linear Algebra Appl. 199:1994;17-67.
    • (1994) Linear Algebra Appl. , vol.199 , pp. 17-67
    • Ando, T.1
  • 2
    • 0038587722 scopus 로고
    • Matrix Young inequalities
    • Ando T. Matrix Young inequalities. Oper. Theory Adv. Appl. 75:1995;33-38.
    • (1995) Oper. Theory Adv. Appl. , vol.75 , pp. 33-38
    • Ando, T.1
  • 3
    • 21144484791 scopus 로고
    • More matrix form of the arithmetic geometric mean inequality
    • Bhatia R., Davis C. More matrix form of the arithmetic geometric mean inequality. SIAM J. Matrix Anal. Appl. 14:1993;132-136.
    • (1993) SIAM J. Matrix Anal. Appl. , vol.14 , pp. 132-136
    • Bhatia, R.1    Davis, C.2
  • 4
    • 0039035533 scopus 로고
    • A Cauchy-Schwarz inequality for operators with applications
    • Bhatia R., Davis C. A Cauchy-Schwarz inequality for operators with applications. Linear Algebra Appl. 223/224:1995;119-129.
    • (1995) Linear Algebra Appl. , vol.223-224 , pp. 119-129
    • Bhatia, R.1    Davis, C.2
  • 5
    • 0000581172 scopus 로고
    • On singular values of a product of operators
    • Bhatia R., Kittaneh F. On singular values of a product of operators. SIAM J. Matrix Anal. Appl. 11:1990;271-277.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , pp. 271-277
    • Bhatia, R.1    Kittaneh, F.2
  • 7
    • 0003316037 scopus 로고
    • Jensen's inequality for operators and Löwner's theorem
    • Hansen F., Pedersen G. Jensen's inequality for operators and Löwner's theorem. Math. Annal. 258:1982;229-241.
    • (1982) Math. Annal. , vol.258 , pp. 229-241
    • Hansen, F.1    Pedersen, G.2
  • 8
    • 34250940948 scopus 로고
    • Beiträge zur Störungstheorie der Spektralzerlegung
    • Heinz E. Beiträge zur Störungstheorie der Spektralzerlegung. Math. Annal. 123:1951;415-438.
    • (1951) Math. Annal. , vol.123 , pp. 415-438
    • Heinz, E.1
  • 9
    • 0001146825 scopus 로고    scopus 로고
    • Log-majorizations and norm inequalities for exponential operators
    • Warszawa: Polish Academy of Sciences. p. 119-181
    • Hiai F. Log-majorizations and norm inequalities for exponential operators. Linear Operators. Banach Center Publ. 38:1997;Polish Academy of Sciences, Warszawa. p. 119-181.
    • (1997) Linear Operators Banach Center Publ. , vol.38
    • Hiai, F.1
  • 10
    • 21844492136 scopus 로고
    • Norm bounds for Hadamard products and the arithmetic-geometric mean inequality for unitarily invariant norms
    • Horn R. Norm bounds for Hadamard products and the arithmetic-geometric mean inequality for unitarily invariant norms. Linear Algebra Appl. 223/224:1995;355-361.
    • (1995) Linear Algebra Appl. , vol.223-224 , pp. 355-361
    • Horn, R.1
  • 11
    • 0039084500 scopus 로고
    • Linear Radon-Nikodym theorems for states on JBW andW
    • Iochum B., Kosaki H. Linear Radon-Nikodym theorems for states on JBW andW. Publ. Res. Inst. Math. Sci. 21:1985;1205-1222.
    • (1985) Publ. Res. Inst. Math. Sci. , vol.21 , pp. 1205-1222
    • Iochum, B.1    Kosaki, H.2
  • 12
    • 0001760628 scopus 로고
    • Norm inequalities for fractional powers of positive operators
    • Kittaneh F. Norm inequalities for fractional powers of positive operators. Lett. Math. Phys. 27:1993;279-285.
    • (1993) Lett. Math. Phys. , vol.27 , pp. 279-285
    • Kittaneh, F.1
  • 13
    • 4243277649 scopus 로고
    • On some operator inequalities
    • Kittaneh F. On some operator inequalities. Linear Algebra Appl. 208/209:1994;19-28.
    • (1994) Linear Algebra Appl. , vol.208-209 , pp. 19-28
    • Kittaneh, F.1
  • 14
    • 85011167898 scopus 로고
    • Linear Radon-Nikodym theorems for states on a von Neumann algebra
    • Kosaki H. Linear Radon-Nikodym theorems for states on a von Neumann algebra. Publ. Res. Inst. Math. Sci. 18:1982;379-386.
    • (1982) Publ. Res. Inst. Math. Sci. , vol.18 , pp. 379-386
    • Kosaki, H.1
  • 15
    • 21144468182 scopus 로고
    • An arithmetic-geometric-harmonic mean inequality involvingHadamard products
    • Mathias R. An arithmetic-geometric-harmonic mean inequality involvingHadamard products. Linear Algebra Appl. 184:1993;71-78.
    • (1993) Linear Algebra Appl. , vol.184 , pp. 71-78
    • Mathias, R.1
  • 16
    • 0003285249 scopus 로고
    • Heinz inequalities and perturbation of spectral families
    • McIntosh A. Heinz inequalities and perturbation of spectral families. Macquarie Mathematical Reports. 1979.
    • (1979) Macquarie Mathematical Reports
    • McIntosh, A.1
  • 17
    • 0039024460 scopus 로고
    • On the operator equationHTTHK
    • Pedersen G. On the operator equationHTTHK. Indiana Math. J. 25:1976;1029-1033.
    • (1976) Indiana Math. J. , vol.25 , pp. 1029-1033
    • Pedersen, G.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.