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Volumn 6, Issue 1, 2003, Pages 1-17

Operator monotone functions of several variables

Author keywords

Operator monotone functions

Indexed keywords


EID: 0037276848     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-06-01     Document Type: Article
Times cited : (18)

References (13)
  • 1
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    • Araki, H.1    Hansen, F.2
  • 2
    • 84864739618 scopus 로고
    • Monotone and convex operator functions
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    • (1955) Trans. Amer. Math. Soc. , vol.79 , pp. 58-71
    • Bendat, J.1    Sherman, S.2
  • 3
    • 0000667789 scopus 로고
    • An operator inequality
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    • (1980) Math. Ann. , vol.246 , pp. 249-250
    • Hansen, F.1
  • 4
    • 0346158227 scopus 로고    scopus 로고
    • Operator convex functions of several variables
    • Kyoto Univ.
    • F. HANSEN, Operator convex functions of several variables, Publ. RIMS, Kyoto Univ., 33 (1997), 443-463.
    • (1997) Publ. RIMS , vol.33 , pp. 443-463
    • Hansen, F.1
  • 5
    • 0001936211 scopus 로고    scopus 로고
    • Operator inequalities associated with Jensen's inequality
    • T. M. Rassias, editor, Kluwer Academic Publishers
    • F. HANSEN, Operator inequalities associated with Jensen's inequality, In T. M. Rassias, editor, Survey on Classical Inequalities, pages 67-98. Kluwer Academic Publishers, 2000.
    • (2000) Survey on Classical Inequalities , pp. 67-98
    • Hansen, F.1
  • 6
    • 31244434161 scopus 로고    scopus 로고
    • Convex trace functions of several variables
    • F. HANSEN, Convex trace functions of several variables, Linear Algebra Appl., 341 (2002), 309-315.
    • (2002) Linear Algebra Appl. , vol.341 , pp. 309-315
    • Hansen, F.1
  • 7
    • 0003316037 scopus 로고
    • Jensen's inequality for operators and Löwner's theorem
    • F. HANSEN AND G.K. PEDERSEN, Jensen's inequality for operators and Löwner's theorem, Math. Ann., 258 (1982), 229-241.
    • (1982) Math. Ann. , vol.258 , pp. 229-241
    • Hansen, F.1    Pedersen, G.K.2
  • 9
    • 84968510909 scopus 로고
    • On some classes of analytic functions of several variables
    • A. KORÁNYI, On some classes of analytic functions of several variables, Trans Amer. Math. Soc., 101 ( 1961 ), 520-554.
    • (1961) Trans Amer. Math. Soc. , vol.101 , pp. 520-554
    • Korányi, A.1
  • 10
    • 0036660484 scopus 로고    scopus 로고
    • Convex multivariate trace functions
    • E. LIEB AND G. K. PEDERSEN, Convex multivariate trace functions, Rev. Math. Phys., 14 (2002), 631-648.
    • (2002) Rev. Math. Phys. , vol.14 , pp. 631-648
    • Lieb, E.1    Pedersen, G.K.2
  • 11
    • 0013314516 scopus 로고
    • Concavity of monotone matrix functions of finite order
    • R. MATHIAS, Concavity of monotone matrix functions of finite order, Linear and Multilinear Algebra, 27 (1990), 129-138.
    • (1990) Linear and Multilinear Algebra , vol.27 , pp. 129-138
    • Mathias, R.1
  • 12
    • 0013212712 scopus 로고    scopus 로고
    • Convex trace functions of several variables on C* -algebras
    • (to appear)
    • G. K. PEDERSEN, Convex trace functions of several variables on C* -algebras, J. Operator Theory (to appear).
    • J. Operator Theory
    • Pedersen, G.K.1
  • 13
    • 0035342072 scopus 로고    scopus 로고
    • Monotone matrix functions of two variables
    • M. SINGH AND H. L. VASUDEVA, Monotone matrix functions of two variables, Linear Algebra Appl., 328 (2001), 131-152.
    • (2001) Linear Algebra Appl. , vol.328 , pp. 131-152
    • Singh, M.1    Vasudeva, H.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.