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Volumn 233, Issue 2, 2006, Pages 515-544

Multiple operator integrals and higher operator derivatives

Author keywords

Besov classes; Multiple operator integrals; Operator derivatives; Schur multipliers; Self adjoint operators; Unitary operators

Indexed keywords


EID: 33645851630     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2005.09.003     Document Type: Article
Times cited : (95)

References (18)
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    • Schur multipliers
    • G. Bennett Schur multipliers Duke Math. J. 44 1977 603-639
    • (1977) Duke Math. J. , vol.44 , pp. 603-639
    • Bennett, G.1
  • 3
    • 0001877705 scopus 로고
    • Double Stieltjes operator integrals
    • Leningrad University (in Russian), English translation: Topics Math. Phys. 1 (1967) 25-54, Consultants Bureau Plenum Publishing Corporation, New York
    • M.S. Birman, M.Z. Solomyak, Double Stieltjes operator integrals, Problems Math. Phys., Leningrad University 1 (1966) 33-67 (in Russian), English translation: Topics Math. Phys. 1 (1967) 25-54, Consultants Bureau Plenum Publishing Corporation, New York.
    • (1966) Problems Math. Phys. , vol.1 , pp. 33-67
    • Birman, M.S.1    Solomyak, M.Z.2
  • 4
    • 0005536380 scopus 로고
    • Double Stieltjes operator integrals. II
    • Leningrad University (in Russian). English translation: Topics Math. Phys. 2 (1968) 19-46, Consultants Bureau Plenum Publishing Corporation, New York
    • M.S. Birman, M.Z. Solomyak, Double Stieltjes operator integrals. II, Problems Math. Phys., Leningrad University 2 (1967) 26-60 (in Russian). English translation: Topics Math. Phys. 2 (1968) 19-46, Consultants Bureau Plenum Publishing Corporation, New York.
    • (1967) Problems Math. Phys. , vol.2 , pp. 26-60
    • Birman, M.S.1    Solomyak, M.Z.2
  • 5
    • 0002547837 scopus 로고
    • Double Stieltjes operator integrals. III
    • (in Russian) Leningrad. Univ
    • M.S. Birman M.Z. Solomyak Double Stieltjes operator integrals. III Problems Math. Phys., Leningrad. Univ. 6 1973 27-53
    • (1973) Problems Math. Phys. , vol.6 , pp. 27-53
    • Birman, M.S.1    Solomyak, M.Z.2
  • 7
    • 0002706045 scopus 로고
    • Integration and differentiation of functions of Hermitian operators and application to the theory of perturbations
    • (in Russian) Voronezh. Gos. Univ
    • Yu.L. Daletskii S.G. Krein Integration and differentiation of functions of Hermitian operators and application to the theory of perturbations Trudy Sem. Functsion. Anal., Voronezh. Gos. Univ. 1 1956 81-105
    • (1956) Trudy Sem. Functsion. Anal. , vol.1 , pp. 81-105
    • Daletskii, Yu.L.1    Krein, S.G.2
  • 8
    • 14644403331 scopus 로고
    • An example of a Lipschitzian function of selfadjoint operators that yields a nonnuclear increase under a nuclear perturbation
    • (in Russian)
    • Yu.B. Farforovskaya An example of a Lipschitzian function of selfadjoint operators that yields a nonnuclear increase under a nuclear perturbation Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. Steklov. (LOMI) 30 1972 146-153
    • (1972) Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. Steklov. (LOMI) , vol.30 , pp. 146-153
    • Farforovskaya, Yu.B.1
  • 12
    • 0039561242 scopus 로고
    • Hankel operators in the theory of perturbations of unitary and self-adjoint operators
    • (in Russian), English translation: Funct. Anal. Appl. 19 (1985) 111-123
    • V.V. Peller, Hankel operators in the theory of perturbations of unitary and self-adjoint operators, Funktsional. Anal. i Prilozhen. 19 (2) (1985) 37-51 (in Russian), English translation: Funct. Anal. Appl. 19 (1985) 111-123.
    • (1985) Funktsional. Anal. I Prilozhen. , vol.19 , Issue.2 , pp. 37-51
    • Peller, V.V.1
  • 16
    • 14644396608 scopus 로고    scopus 로고
    • An extension of the Koplienko-Neidhardt trace formulae
    • V.V. Peller An extension of the Koplienko-Neidhardt trace formulae J. Funct. Anal. 221 2005 456-481
    • (2005) J. Funct. Anal. , vol.221 , pp. 456-481
    • Peller, V.V.1
  • 17
    • 33645879445 scopus 로고
    • Multiple operator integrals
    • (in Russian), English translation: Soviet Math. (Iz. VUZ) 21 (4) (1977) 88-99
    • V.V. Sten'kin, Multiple operator integrals, Izv. Vyssh. Uchebn. Zaved. Matematika 4 (79) (1977) 102-115 (in Russian), English translation: Soviet Math. (Iz. VUZ) 21 (4) (1977) 88-99.
    • (1977) Izv. Vyssh. Uchebn. Zaved. Matematika , vol.4 , Issue.79 , pp. 102-115
    • Sten'kin, V.V.1
  • 18
    • 0011326078 scopus 로고
    • A certain class of multiple operator Stieltjes integrals
    • Izdat. Leningrad, University, Leningrad (in Russian)
    • M.Z. Solomyak, V.V. Sten'kin, A certain class of multiple operator Stieltjes integrals, Problems Math. Anal., Linear Operators and Operator Equations, vol. 2, Izdat. Leningrad, University, Leningrad (1969) 122-134 (in Russian).
    • (1969) Problems Math. Anal., Linear Operators and Operator Equations , vol.2 , pp. 122-134
    • Solomyak, M.Z.1    Sten'kin, M.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.