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Volumn 61, Issue 2, 2009, Pages 241-263

Operator integrals, spectral shift, and spectral flow

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EID: 65349154626     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-2009-012-0     Document Type: Article
Times cited : (97)

References (43)
  • 2
    • 33745532013 scopus 로고    scopus 로고
    • The Krein spectral shift function in semifinite von Neumann algebras
    • N. A. Azamov, P. G. Dodds, and F. A. Sukochev, The Krein spectral shift function in semifinite von Neumann algebras. Integral Equations Operator Theory 55(2006), no. 3, 347-362.
    • (2006) Integral Equations Operator Theory , vol.55 , Issue.3 , pp. 347-362
    • Azamov, N.A.1    Dodds, P.G.2    Sukochev, F.A.3
  • 3
    • 0032427855 scopus 로고    scopus 로고
    • Spectral shift function, amazing and multifaceted. Dedicated to the memory of Mark Grigorievich Krein (1907-1989)
    • M. Sh. Birman and A. B. Pushnitski, Spectral shift function, amazing and multifaceted. Dedicated to the memory of Mark Grigorievich Krein (1907-1989). Integral Equations Operator Theory 30(1998), no. 2,191-199.
    • (1998) Integral Equations Operator Theory , vol.30 , Issue.2 , pp. 191-199
    • Birman, M.S.1    Pushnitski, A.B.2
  • 4
    • 0000208824 scopus 로고    scopus 로고
    • M. Sh. Birman and M. Z. Solomyak, Remarks on the spectral shift function.J. Soviet Math.3(1975), 408-419.
    • M. Sh. Birman and M. Z. Solomyak, Remarks on the spectral shift function.J. Soviet Math.3(1975), 408-419.
  • 7
    • 0002329452 scopus 로고
    • Fredholm theories in von Neumann algebras. I
    • M. Breuer, Fredholm theories in von Neumann algebras. I. Math. Ann. 178(1968), 243-254.
    • (1968) Math. Ann , vol.178 , pp. 243-254
    • Breuer, M.1
  • 9
    • 3042799822 scopus 로고    scopus 로고
    • Spectral flow in Fredholm modules, eta invariants and the JLO cocycle
    • A. L. Carey and I. Phillips, Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. K-Theory 31(2004), no. 2, 135-194.
    • (2004) K-Theory , vol.31 , Issue.2 , pp. 135-194
    • Carey, A.L.1    Phillips, I.2
  • 10
    • 3042759267 scopus 로고    scopus 로고
    • The Hochschild class of the Chern character of semifinite spectral triples
    • A. L. Carey, J. Phillips, A. Rennie, and F. A. Sukochev, The Hochschild class of the Chern character of semifinite spectral triples. J. Funct. Anal. 213(2004), no. 1, 111-153.
    • (2004) J. Funct. Anal , vol.213 , Issue.1 , pp. 111-153
    • Carey, A.L.1    Phillips, J.2    Rennie, A.3    Sukochev, F.A.4
  • 11
    • 33748290318 scopus 로고    scopus 로고
    • The local index formula in semifinite von Neumann algebras I. Spectral flow
    • The local index formula in semifinite von Neumann algebras I. Spectral flow. Adv. Math. 202(2006), no. 2,451-516.
    • (2006) Adv. Math , vol.202 , Issue.2 , pp. 451-516
  • 13
    • 0037440272 scopus 로고    scopus 로고
    • Spectral flow and Dixmier traces
    • A. L. Carey, J. Phillips, and F. A. Sukochev, Spectral flow and Dixmier traces. Adv. Math. 173(2003), no. 1,68-113.
    • (2003) Adv. Math , vol.173 , Issue.1 , pp. 68-113
    • Carey, A.L.1    Phillips, J.2    Sukochev, F.A.3
  • 15
    • 0000151581 scopus 로고
    • The local index formula in noncommutative geometry
    • A. Connes and H. Moscovici, The local index formula in noncommutative geometry. Geom. Funct. Anal. 5(1995), no. 2, 174-243.
    • (1995) Geom. Funct. Anal , vol.5 , Issue.2 , pp. 174-243
    • Connes, A.1    Moscovici, H.2
  • 16
    • 65349164013 scopus 로고    scopus 로고
    • Y. L. Daletskii and S. G. Krein, Integration and differentiation of functions of Hermitian operators and applications to the theory of perturbations. Voronez. Gos. Univ. Trudy Sem. Funkcional. Anal. 1956(1956), no. 1, 81-105.
    • Y. L. Daletskii and S. G. Krein, Integration and differentiation of functions of Hermitian operators and applications to the theory of perturbations. Voronez. Gos. Univ. Trudy Sem. Funkcional. Anal. 1956(1956), no. 1, 81-105.
  • 17
    • 0003598756 scopus 로고
    • North-Holland Mathematical Library 27, North-Holland Publishing Co, Amsterdam-New York
    • J. Dixmier, von Neumann Algebras. North-Holland Mathematical Library 27, North-Holland Publishing Co., Amsterdam-New York, 1981.
    • (1981) von Neumann Algebras
    • Dixmier, J.1
  • 19
    • 0031206248 scopus 로고    scopus 로고
    • Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces
    • P. G. Dodds, T. K. Dodds, B. de Pagter, and F. A. Sukochev, Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces. J. Funct. Anal. 148(1997), no. 1, 28-69.
    • (1997) J. Funct. Anal , vol.148 , Issue.1 , pp. 28-69
    • Dodds, P.G.1    Dodds, T.K.2    de Pagter, B.3    Sukochev, F.A.4
  • 21
    • 84972546868 scopus 로고
    • Generalised s-numbers of-measurable operators
    • T. Fack and H. Kosaki, Generalised s-numbers of-measurable operators. Pacific J. Math. 123(1986), no. 2, 269-300.
    • (1986) Pacific J. Math , vol.123 , Issue.2 , pp. 269-300
    • Fack, T.1    Kosaki, H.2
  • 22
    • 0011536960 scopus 로고
    • Generalized functions
    • Academic Press, New York-London
    • I. M. Gelfand and G. E. Shilov, Generalized functions. Vol. 1. Properties and operations. Academic Press, New York-London, 1964.
    • (1964) Properties and operations , vol.1
    • Gelfand, I.M.1    Shilov, G.E.2
  • 23
    • 0000751768 scopus 로고
    • The odd Chern character in cyclic homology and spectral flow
    • E. Getzler, The odd Chern character in cyclic homology and spectral flow. Topology 32(1993), no. 3, 489-507.
    • (1993) Topology , vol.32 , Issue.3 , pp. 489-507
    • Getzler, E.1
  • 25
    • 65349124573 scopus 로고    scopus 로고
    • M. G. Krein, On the trace formula in perturbation theory. Mat. Sbornik N.S. 33(75)(1953), 597-626.
    • M. G. Krein, On the trace formula in perturbation theory. Mat. Sbornik N.S. 33(75)(1953), 597-626.
  • 28
    • 0001231780 scopus 로고
    • On a problem in the theory of perturbations connected with quantum statistics
    • I. M. Lifshits, On a problem in the theory of perturbations connected with quantum statistics. Uspekhi Mat Nauk 7(1952), 171-180.
    • (1952) Uspekhi Mat Nauk , vol.7 , pp. 171-180
    • Lifshits, I.M.1
  • 29
    • 3242660580 scopus 로고    scopus 로고
    • Differentiation of operator functions in non-commutative Lp-spaces
    • B. de Pagter and E A. Sukochev, Differentiation of operator functions in non-commutative Lp-spaces. J. Fund. Anal. 212(2004), no. 1, 28-75.
    • (2004) J. Fund. Anal , vol.212 , Issue.1 , pp. 28-75
    • de Pagter, B.1    Sukochev, E.A.2
  • 32
    • 33645851630 scopus 로고    scopus 로고
    • Multiple operator integrals and higher operator derivatives
    • V. V. Peller, Multiple operator integrals and higher operator derivatives. J. Funct Anal. 233(2006), no. 2, 515-544.
    • (2006) J. Funct Anal , vol.233 , Issue.2 , pp. 515-544
    • Peller, V.V.1
  • 33
    • 0030445801 scopus 로고    scopus 로고
    • Self-adjoint Fredholm operators and spectral flow
    • J. Phillips, Self-adjoint Fredholm operators and spectral flow. Canad. Math. Bull. 39(1996), no. 4, 460-467.
    • (1996) Canad. Math. Bull , vol.39 , Issue.4 , pp. 460-467
    • Phillips, J.1
  • 34
    • 0000379941 scopus 로고    scopus 로고
    • Cyclic cohomology and noncommutative geometry, Fields. Inst. Commun. 17, American Mathematical Society, Providence, RI
    • Spectral flow in type I and type II factors-a new approach. In: Cyclic cohomology and noncommutative geometry, Fields. Inst. Commun. 17, American Mathematical Society, Providence, RI, 1997, pp. 137-153.
    • (1997) Spectral flow in type I and type II factors-a new approach , pp. 137-153
  • 35
    • 0013195760 scopus 로고
    • An index theorem for Toeplitz operators with noncommutative symbol space
    • J. Phillips and I. Raeburn, An index theorem for Toeplitz operators with noncommutative symbol space. J. Funct. Anal. 120(1994), no. 2,239-263.
    • (1994) J. Funct. Anal , vol.120 , Issue.2 , pp. 239-263
    • Phillips, J.1    Raeburn, I.2
  • 38
    • 0003739916 scopus 로고
    • Nonlinear Functional Analysis
    • Gordon and Breach Science Publishers, New York-London-Paris
    • J. T. Schwartz, Nonlinear Functional Analysis. Notes on Mathematics and its Applications, Gordon and Breach Science Publishers, New York-London-Paris, 1969.
    • (1969) Notes on Mathematics and its Applications
    • Schwartz, J.T.1
  • 40
    • 65349168703 scopus 로고    scopus 로고
    • Izv. Vyss. Ucebn. Zaved. Matematika 1977, 102-115
    • V. V. Stenkin, Multiple operator integrals. Izv. Vyss. Ucebn. Zaved. Matematika 4(1977), 102-115.
    • Multiple operator integrals , vol.4
    • Stenkin, V.V.1
  • 42
    • 85024751386 scopus 로고
    • When are differentiable functions are differentiable?
    • Linear and Complex Analysis Problem Book, 1573, Springer-Verlag, Berlin-Heidelberg-New York
    • H. Widom, When are differentiable functions are differentiable? In: Linear and Complex Analysis Problem Book 3, Part 1, Lecture Notes in Mathematics 1573, Springer-Verlag, Berlin-Heidelberg-New York, 1994, pp. 266-271.
    • (1994) Lecture Notes in Mathematics , vol.3 , Issue.PART 1 , pp. 266-271
    • Widom, H.1


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