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Volumn 302-303, Issue , 1999, Pages 231-244

Derivations, derivatives and chain rules

Author keywords

Commutator; Derivation; Fr chet derivative; Perturbation bound

Indexed keywords


EID: 0033259818     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(99)00084-1     Document Type: Article
Times cited : (15)

References (18)
  • 2
    • 21844481930 scopus 로고
    • First and second order perturbation bounds for the operator absolute value
    • R. Bhatia, First and second order perturbation bounds for the operator absolute value, Linear Algebra Appl. 208/209 (1994) 367-376.
    • (1994) Linear Algebra Appl. , vol.208-209 , pp. 367-376
    • Bhatia, R.1
  • 3
    • 0041038046 scopus 로고
    • Perturbation bounds for the operator absolute value
    • R. Bhatia, Perturbation bounds for the operator absolute value, Linear Algebra Appl. 226 (1995) 639-645.
    • (1995) Linear Algebra Appl. , vol.226 , pp. 639-645
    • Bhatia, R.1
  • 4
    • 0037976452 scopus 로고
    • Variation of real powers of positive operators
    • R. Bhatia, K.B. Sinha, Variation of real powers of positive operators, Indiana Univ. Math. J. 43 (1994) 913-925.
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 913-925
    • Bhatia, R.1    Sinha, K.B.2
  • 5
    • 0032472512 scopus 로고    scopus 로고
    • Differentiation of operator functions and perturbation bounds
    • R. Bhatia, D. Singh, K.B. Sinha, Differentiation of operator functions and perturbation bounds, Commun. Math. Phys. 191 (1998) 603-611.
    • (1998) Commun. Math. Phys. , vol.191 , pp. 603-611
    • Bhatia, R.1    Singh, D.2    Sinha, K.B.3
  • 6
    • 0347736596 scopus 로고
    • Stieltjes double integral operators
    • Consultants Bureau, New York
    • M. S. Birman, M.Z. Solomyak, Stieltjes double integral operators, Topics in Mathematical Physics, vol. 1, Consultants Bureau, New York, 1967.
    • (1967) Topics in Mathematical Physics , vol.1
    • Birman, M.S.1    Solomyak, M.Z.2
  • 7
    • 0002973679 scopus 로고
    • Operator integration, perturbations and commutators
    • in Russian
    • M.S. Birman, M.Z. Solomyak, Operator integration, perturbations and commutators, Zap. Nauchn. Sem. LOMI 170 (1989) 34-66 (in Russian).
    • (1989) Zap. Nauchn. Sem. LOMI , vol.170 , pp. 34-66
    • Birman, M.S.1    Solomyak, M.Z.2
  • 10
    • 0013512307 scopus 로고
    • An estimate of the norm ∥f(B) - F(A)∥ for self-adjoint operators A and B
    • in Russian
    • Yu.B. Farforovskaya, An estimate of the norm ∥f(B) - f(A)∥ for self-adjoint operators A and B, Zap. Nauch. Sem. LOMI 56 (1976) 143-162 (in Russian).
    • (1976) Zap. Nauch. Sem. LOMI , vol.56 , pp. 143-162
    • Farforovskaya, Yu.B.1
  • 11
    • 0346419546 scopus 로고
    • Functions of operators and their commutators in perturbation theory
    • Banach Center Publications, Warszawa
    • Yu.B. Farforovskaya, Functions of operators and their commutators in perturbation theory, in Functional Analysis and Operator Theory, vol. 30, Banach Center Publications, Warszawa, 1994, pp 147-159.
    • (1994) Functional Analysis and Operator Theory , vol.30 , pp. 147-159
    • Farforovskaya, Yu.B.1
  • 13
    • 85008099478 scopus 로고
    • Perturbation formulas for traces on C*-algebras
    • F. Hansen, G.K. Pedersen, Perturbation formulas for traces on C*-algebras, Publ. RIMS Kyoto Univ. 31 (1995) 169-178.
    • (1995) Publ. RIMS Kyoto Univ. , vol.31 , pp. 169-178
    • Hansen, F.1    Pedersen, G.K.2
  • 14
    • 85007952731 scopus 로고
    • Inequalities for the Schatten p-norm V
    • F. Kittanch, H. Kosaki, Inequalities for the Schatten p-norm V, Publ. RIMS Kyoto Univ. 23 (1987) 433-443.
    • (1987) Publ. RIMS Kyoto Univ. , vol.23 , pp. 433-443
    • Kittanch, F.1    Kosaki, H.2
  • 15
    • 84968501400 scopus 로고
    • Counter-example to a question on commutators
    • A. McIntosh, Counter-example to a question on commutators, Proc. Amer. Math. Soc. 29 (1971) 337-340.
    • (1971) Proc. Amer. Math. Soc. , vol.29 , pp. 337-340
    • McIntosh, A.1
  • 16
    • 0001518003 scopus 로고
    • Derivatives of the matrix exponential and their computation
    • I. Najfeld, T.F. Havel, Derivatives of the matrix exponential and their computation, Adv. Appl. Math. 16 (1995) 321-375.
    • (1995) Adv. Appl. Math. , vol.16 , pp. 321-375
    • Najfeld, I.1    Havel, T.F.2
  • 18
    • 0031539725 scopus 로고    scopus 로고
    • Quantum analysis - Non-commutative differential and integral calculi
    • M. Suzuki, Quantum analysis - non-commutative differential and integral calculi, Commun. Math. Phys. 183 (1997) 339-363.
    • (1997) Commun. Math. Phys. , vol.183 , pp. 339-363
    • Suzuki, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.