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Volumn 17, Issue 4, 1998, Pages 239-266

Error bound in trace norm for Trotter-Kato product formula of Gibbs semigroups

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EID: 0000670492     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (12)
  • 1
    • 0001167096 scopus 로고
    • Note on product formulas for operator semigroups
    • P.R. Chernoff, Note on product formulas for operator semigroups, J. Funct. Anal. 2 (1968), 238-242.
    • (1968) J. Funct. Anal. , vol.2 , pp. 238-242
    • Chernoff, P.R.1
  • 2
    • 0003882735 scopus 로고
    • Cambridge Studies in Advanced Mathematics, Cambridge University Press
    • E.B. Davies, Spectral Theory and Differential Operators, Cambridge Studies in Advanced Mathematics, Vol. 42, Cambridge University Press, 1995.
    • (1995) Spectral Theory and Differential Operators , vol.42
    • Davies, E.B.1
  • 3
    • 0031115930 scopus 로고    scopus 로고
    • An estimate on the Kac transfer operator
    • B.O. Dia and M. Schatzman, An estimate on the Kac transfer operator, J. Funct. Anal. 145 (1997), 108-135.
    • (1997) J. Funct. Anal. , vol.145 , pp. 108-135
    • Dia, B.O.1    Schatzman, M.2
  • 4
    • 0001551872 scopus 로고
    • Around the transfer operator and the Trotter-Kato formula
    • B. Helffer, Around the transfer operator and the Trotter-Kato formula, Oper. Theory Adv. Appl. 78 (1995), 161-174.
    • (1995) Oper. Theory Adv. Appl. , vol.78 , pp. 161-174
    • Helffer, B.1
  • 5
    • 0000301201 scopus 로고
    • Equation de Schrödinger avec champ magnetique et equation de Harper
    • Lecture Notes in Phys.
    • B. Helffer and J. Sjöstrand, Equation de Schrödinger avec champ magnetique et equation de Harper, in: Schrödinger Operators, Lecture Notes in Phys., Vol. 345, 1989, pp. 118-197.
    • (1989) Schrödinger Operators , vol.345 , pp. 118-197
    • Helffer, B.1    Sjöstrand, J.2
  • 6
    • 0039007433 scopus 로고
    • Trace norm convergence of exponential product formula
    • F. Hiai, Trace norm convergence of exponential product formula, Lett. Math. Phys. 33 (1995), 147-158.
    • (1995) Lett. Math. Phys. , vol.33 , pp. 147-158
    • Hiai, F.1
  • 7
    • 0009007414 scopus 로고    scopus 로고
    • Estimate of the difference between the Kac operator and the Schrödinger semigroup
    • T. Ichinose and S. Takanobu, Estimate of the difference between the Kac operator and the Schrödinger semigroup. Comm. Math. Phys. 186 (1997), 167-197.
    • (1997) Comm. Math. Phys. , vol.186 , pp. 167-197
    • Ichinose, T.1    Takanobu, S.2
  • 8
    • 0031455086 scopus 로고    scopus 로고
    • Error estimate in operator norm for Trotter-Kato product formula
    • T. Ichinose and H. Tamura, Error estimate in operator norm for Trotter-Kato product formula, Integral Equations Operator Theory 27 (1997), 195-207.
    • (1997) Integral Equations Operator Theory , vol.27 , pp. 195-207
    • Ichinose, T.1    Tamura, H.2
  • 9
    • 0000452337 scopus 로고
    • Trotter's product formula for an arbitrary pair of self-adjoint contraction semigroup
    • Adv. Math. Suppl. Studies
    • T. Kato, Trotter's product formula for an arbitrary pair of self-adjoint contraction semigroup, in: Topics in Functional Analysis, Adv. Math. Suppl. Studies, Vol. 3, 1978, pp. 185-195.
    • (1978) Topics in Functional Analysis , vol.3 , pp. 185-195
    • Kato, T.1
  • 10
    • 0009050667 scopus 로고
    • The Trotter-Kato product formula for Gibbs semigroups
    • H. Neidhardt and V.A. Zagrebnov, The Trotter-Kato product formula for Gibbs semigroups, Comm. Math. Phys. 131 (1990), 333-346.
    • (1990) Comm. Math. Phys. , vol.131 , pp. 333-346
    • Neidhardt, H.1    Zagrebnov, V.A.2
  • 11
    • 0002174029 scopus 로고
    • Error bounds for Trotter-type formulas for self-adjoint operators
    • D.L. Rogava, Error bounds for Trotter-type formulas for self-adjoint operators, Functional Anal. Appl. 27 (1993), 217-219.
    • (1993) Functional Anal. Appl. , vol.27 , pp. 217-219
    • Rogava, D.L.1
  • 12
    • 84968520470 scopus 로고
    • On the product of semigroups of operators
    • H.F. Trotter, On the product of semigroups of operators, Proc. Amer. Math. Soc. 10 (1959), 545-551.
    • (1959) Proc. Amer. Math. Soc. , vol.10 , pp. 545-551
    • Trotter, H.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.