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Volumn 42, Issue 1, 1999, Pages 87-96

Some norm inequalities for operators

Author keywords

Arithmetic geometric mean inequality; Cauchy Schwarz inequality; Heinz inequality; Positive operator; Unitarily invariant norm

Indexed keywords


EID: 0011604441     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-1999-010-6     Document Type: Article
Times cited : (22)

References (26)
  • 2
    • 0009036028 scopus 로고
    • Perturbation inequalities for the absolute value map in norm ideals of operators
    • R. Bhatia, Perturbation inequalities for the absolute value map in norm ideals of operators. J. Operator Theory 19(1988), 129-136.
    • (1988) J. Operator Theory , vol.19 , pp. 129-136
    • Bhatia, R.1
  • 3
    • 85033941042 scopus 로고
    • A simple proof of an operator inequality of Jocić and Kittaneh
    • _, A simple proof of an operator inequality of Jocić and Kittaneh. J. Operator Theory 31(1994), 21-22.
    • (1994) J. Operator Theory , vol.31 , pp. 21-22
  • 4
    • 21144484791 scopus 로고
    • More matrix forms of the arithmetic-geometric mean inequality
    • R. Bhatia and C. Davis, More matrix forms 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
  • 5
    • 0039035533 scopus 로고
    • A Cauchy-Schwarz inequality for operators with applications
    • _, 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
  • 6
    • 0011082909 scopus 로고
    • On the Clarkson-McCarthy inequalities
    • R. Bhatia and J. A. R. Holbrook, On the Clarkson-McCarthy inequalities. Math. Ann. 281(1988), 7-12.
    • (1988) Math. Ann. , vol.281 , pp. 7-12
    • Bhatia, R.1    Holbrook, J.A.R.2
  • 7
    • 0000581172 scopus 로고
    • On the singular values of a product of operators
    • R. Bhatia and F. Kittaneh, On the singular values of a product of operators. SIAM J. Matrix Anal. Appl. 11(1990), 272-277.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , pp. 272-277
    • Bhatia, R.1    Kittaneh, F.2
  • 8
    • 0001232734 scopus 로고
    • Norm inequalities for partitioned operators and an application
    • _, Norm inequalities for partitioned operators and an application. Math. Ann. 287(1990), 719-726.
    • (1990) Math. Ann. , vol.287 , pp. 719-726
  • 10
    • 21844502134 scopus 로고
    • A note on the arithmetic-geometric mean inequality for every unitarily invariant matrix norm
    • T. Furuta, A note on the arithmetic-geometric mean inequality for every unitarily invariant matrix norm. Linear Algebra Appl. 208/209(1994), 223-228.
    • (1994) Linear Algebra Appl. , vol.208-209 , pp. 223-228
    • Furuta, T.1
  • 11
    • 0003301335 scopus 로고
    • Introduction to the theory of linear nonself-adjoint operators
    • Amer. Math. Soc., Providence, RI
    • I. C. Gohberg and M. G. Krein, Introduction to the theory of linear nonself-adjoint operators. Transl. Math. Monographs 18, Amer. Math. Soc., Providence, RI, 1969.
    • (1969) Transl. Math. Monographs , vol.18
    • Gohberg, I.C.1    Krein, M.G.2
  • 12
    • 34250940948 scopus 로고
    • Beiträge zur störungstheorie der spektralzerlegung
    • E. Heinz, Beiträge zur Störungstheorie der Spektralzerlegung, Math. Ann. 123(1951), 415-438.
    • (1951) Math. Ann. , vol.123 , pp. 415-438
    • Heinz, E.1
  • 13
    • 0040740127 scopus 로고
    • An analog of the Cauchy-Schwarz inequality for Hadamard products and unitarily invariant norms
    • R. A. Horn and R. Mathias, An analog of the Cauchy-Schwarz inequality for Hadamard products and unitarily invariant norms. SIAM J. Matrix Anal. Appl. 11(1990), 481-498.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , pp. 481-498
    • Horn, R.A.1    Mathias, R.2
  • 14
    • 38249018439 scopus 로고
    • Cauchy-Schwarz inequalities associated with positive semidefinite matrices
    • _, Cauchy-Schwarz inequalities associated with positive semidefinite matrices. Linear Algebra Appl. 142(1990), 63-82.
    • (1990) Linear Algebra Appl. , vol.142 , pp. 63-82
  • 15
    • 21844492136 scopus 로고
    • Norm bounds for Hadamard products and an arithmetic-geometric mean inequality for unitarily invariant norms
    • R. A. Horn, Norm bounds for Hadamard products and an 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.A.1
  • 16
    • 0002915150 scopus 로고
    • Some perturbation inequalities for self-adjoint operators
    • D. Jocić and F. Kittaneh, Some perturbation inequalities for self-adjoint operators, J. Operator Theory 31(1994), 3-10.
    • (1994) J. Operator Theory , vol.31 , pp. 3-10
    • Jocić, D.1    Kittaneh, F.2
  • 17
    • 0001697314 scopus 로고
    • A generalization of the Heinz inequality
    • T. Kato, A generalization of the Heinz inequality. Proc. Japan Acad. 37(1961), 305-308.
    • (1961) Proc. Japan Acad. , vol.37 , pp. 305-308
    • Kato, T.1
  • 18
    • 85007971279 scopus 로고
    • Notes on some inequalities for Hilbert space operators
    • F. Kittaneh, Notes on some inequalities for Hilbert space operators. Publ. Res. Inst. Math. Sci. 24(1988), 283-293.
    • (1988) Publ. Res. Inst. Math. Sci. , vol.24 , pp. 283-293
    • Kittaneh, F.1
  • 19
    • 0002211938 scopus 로고
    • A note on the arithmetic-geometric mean inequality for matrices
    • _, A note on the arithmetic-geometric mean inequality for matrices. Linear Algebra Appl. 171(1992), 1-8.
    • (1992) Linear Algebra Appl. , vol.171 , pp. 1-8
  • 20
    • 0001760628 scopus 로고
    • Norm inequalities for fractional powers of positive operators
    • _, Norm inequalities for fractional powers of positive operators. Lett. Math. Phys. 27(1993), 279-285.
    • (1993) Lett. Math. Phys. , vol.27 , pp. 279-285
  • 21
    • 4243277649 scopus 로고
    • On some operator inequalities
    • _, On some operator inequalities. Linear Algebra Appl. 208/209(1994), 19-28.
    • (1994) Linear Algebra Appl. , vol.208-209 , pp. 19-28
  • 22
    • 21144468182 scopus 로고
    • An arithmetic-geometric mean inequality involving Hadamard products
    • R. Mathias, An arithmetic-geometric mean inequality involving Hadamard products. Linear Algebra Appl. 184(1993), 71-78.
    • (1993) Linear Algebra Appl. , vol.184 , pp. 71-78
    • Mathias, R.1
  • 23
    • 0003285249 scopus 로고
    • Heinz inequalities and perturbation of spectral families
    • Macquarie University
    • A. McIntosh, Heinz inequalities and perturbation of spectral families. Macquarie Mathematics Reports 79-0006, Macquarie University, 1979.
    • (1979) Macquarie Mathematics Reports 79-0006
    • McIntosh, A.1
  • 26
    • 0040814155 scopus 로고
    • Convergence in trace ideals
    • _, Convergence in trace ideals. Proc. Amer. Math. Soc. 83(1981), 39-43.
    • (1981) Proc. Amer. Math. Soc. , vol.83 , pp. 39-43


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.