메뉴 건너뛰기




Volumn 35, Issue 4, 2003, Pages 553-564

Jensen's operator inequality

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038504713     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609303002200     Document Type: Article
Times cited : (201)

References (16)
  • 1
    • 23044519644 scopus 로고    scopus 로고
    • Jensen's operator inequality for functions of several variables
    • H. ARAKI and F. HANSEN, 'Jensen's operator inequality for functions of several variables', Proc. Amer. Math. Soc. 128 (2000) 2075-2084.
    • (2000) Proc. Amer. Math. Soc. , vol.128 , pp. 2075-2084
    • Araki, H.1    Hansen, F.2
  • 2
    • 84864739618 scopus 로고
    • Monotone and convex operator functions
    • J. BENDAT and S. SHERMAN, 'Monotone and convex operator functions', Trans. Amer. Math. Soc. 79 (1955) 58-71.
    • (1955) Trans. Amer. Math. Soc. , vol.79 , pp. 58-71
    • Bendat, J.1    Sherman, S.2
  • 3
    • 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 2:3 (1990) 3-19.
    • (1990) J. Operator Theory , vol.2-3 , pp. 3-19
    • Brown, L.G.1    Kosaki, H.2
  • 4
    • 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
  • 5
    • 0037526304 scopus 로고
    • Notions generalizing convexity for functions on spaces of matrices
    • American Mathematical Society
    • C. DAVIS, Notions generalizing convexity for functions on spaces of matrices, Proceedings of Symposia in Pure Mathematics 7 (American Mathematical Society, 1963) 187-201.
    • (1963) Proceedings of Symposia in Pure Mathematics , vol.7 , pp. 187-201
    • Davis, C.1
  • 6
    • 0000667789 scopus 로고
    • An operator inequality
    • F. HANSEN, An operator inequality', Math. Ann. 246 (1980) 249-250.
    • (1980) Math. Ann. , vol.246 , pp. 249-250
    • Hansen, F.1
  • 7
    • 0001936211 scopus 로고    scopus 로고
    • Operator inequalities associated with Jensen's inequality
    • ed. T. M. Rassias, Kluwer Academic
    • F. HANSEN, 'Operator inequalities associated with Jensen's inequality', Survey on classical inequalities (ed. T. M. Rassias, Kluwer Academic, 2000) 67-98.
    • (2000) Survey on Classical Inequalities , pp. 67-98
    • Hansen, F.1
  • 8
    • 0037276848 scopus 로고    scopus 로고
    • Operator monotone functions of several variables
    • F. HANSEN, 'Operator monotone functions of several variables', Math. Inequal. Appl. 6 (2003) 1-17.
    • (2003) Math. Inequal. Appl. , vol.6 , pp. 1-17
    • Hansen, F.1
  • 9
    • 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
  • 10
    • 85027217899 scopus 로고    scopus 로고
    • Jensen's trace inequality in several variables
    • to appear
    • F. HANSEN and G. K. PEDERSEN, 'Jensen's trace inequality in several variables', Int. J. Math., to appear.
    • Int. J. Math.
    • Hansen, F.1    Pedersen, G.K.2
  • 12
    • 0011874675 scopus 로고
    • Über konvexe matrixfunktionen
    • F. KRAUS, 'Über konvexe Matrixfunktionen', Math. Z. 41 (1936) 18-42.
    • (1936) Math. Z. , vol.41 , pp. 18-42
    • Kraus, F.1
  • 13
    • 34250967722 scopus 로고
    • Über monotone matrixfunktionen
    • K. LÖWNER, 'Über monotone Matrixfunktionen', Math. Z. 38 (1934) 177-216.
    • (1934) Math. Z. , vol.38 , pp. 177-216
    • Löwner, K.1
  • 15
    • 0003216501 scopus 로고
    • C*-algebras and their automorphism groups
    • Academic Press, San Diego
    • G. K. PEDERSEN, C*-algebras and their automorphism groups, London Math. Soc. Monogr. 14 (Academic Press, San Diego, 1979).
    • (1979) London Math. Soc. Monogr. , vol.14
    • Pedersen, G.K.1
  • 16
    • 0038540404 scopus 로고
    • Extreme n-tuples of elements in C*-algebras
    • G. K. PEDERSEN, 'Extreme n-tuples of elements in C*-algebras', Bull. London Math. Soc. 19 (1987) 264-270.
    • (1987) Bull. London Math. Soc. , vol.19 , pp. 264-270
    • Pedersen, G.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.