메뉴 건너뛰기




Volumn 86, Issue 3-4, 2009, Pages 577-590

Generalized limits and related asymptotic formulas

Author keywords

Ces ro operator; Dilation operator; Dixmier trace; Generalized limit; Hilbert space; Karamata theorem; Lebesgue Stieltjes integral; Marcinkiewicz space; Operator ideal

Indexed keywords


EID: 76249090035     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1134/S000143460909034X     Document Type: Article
Times cited : (6)

References (11)
  • 2
    • 0037440272 scopus 로고    scopus 로고
    • Spectral flow and Dixmier traces
    • A. Carey, J. Phillips, and F. Sukochev, "Spectral flow and Dixmier traces," Adv. Math. 173(1), 68-113 (2003).
    • (2003) Adv. Math. , vol.173 , Issue.1 , pp. 68-113
    • Carey, A.1    Phillips, J.2    Sukochev, F.3
  • 3
    • 34250682687 scopus 로고    scopus 로고
    • The Dixmier trace and asymptotics of zeta functions
    • A. L. Carey, A. Rennie, A. Sedaev, and F. Sukochev, "The Dixmier trace and asymptotics of zeta functions," J. Funct. Anal. 249(2), 253-283 (2007).
    • (2007) J. Funct. Anal. , vol.249 , Issue.2 , pp. 253-283
    • Carey, A.L.1    Rennie, A.2    Sedaev, A.3    Sukochev, F.4
  • 4
    • 34249705380 scopus 로고    scopus 로고
    • Dixmier traces and some applications in non-commutative geometry
    • [Russian Math. Surveys 61 (6), 1039-1099 (2006)]
    • A. L. Carey and F. A. Sukochev, "Dixmier traces and some applications in non-commutative geometry," UspekhiMat. Nauk 61(6), 45-110 (2006) [Russian Math. Surveys 61 (6), 1039-1099 (2006)].
    • (2006) UspekhiMat. Nauk , vol.61 , Issue.6 , pp. 45-110
    • Carey, A.L.1    Sukochev, F.A.2
  • 6
    • 0001026377 scopus 로고
    • Existence de traces non normales
    • J. Dixmier, "Existence de traces non normales," C. R. Acad. Sci. Paris Sér. A 262, 1107-1108 (1966).
    • (1966) C. R. Acad. Sci. Paris Sér. A , vol.262 , pp. 1107-1108
    • Dixmier, J.1
  • 8
    • 18844427060 scopus 로고    scopus 로고
    • Dixmier traces as singular symmetric functionals and applications to measurable operators
    • S. Lord, A. Sedaev, and F. Sukochev, "Dixmier traces as singular symmetric functionals and applications to measurable operators," J. Funct. Anal. 224(1), 72-106 (2005).
    • (2005) J. Funct. Anal. , vol.224 , Issue.1 , pp. 72-106
    • Lord, S.1    Sedaev, A.2    Sukochev, F.3
  • 9
    • 76249109917 scopus 로고    scopus 로고
    • Connes-Dixmier traces, singular symmetric functionals, and measurable elements in the sense of Connes
    • [Math. Notes 76 (5-6), 884-889 (2004)]
    • A. A. Sedaev, F. A. Sukochev, and S. Lord, "Connes-Dixmier traces, singular symmetric functionals, and measurable elements in the sense of Connes," Mat. Zametki 76(6), 948-953 (2004) [Math. Notes 76 (5-6), 884-889 (2004)].
    • (2004) Mat. Zametki , vol.76 , Issue.6 , pp. 948-953
    • Sedaev, A.A.1    Sukochev, F.A.2    Lord, S.3
  • 10
    • 76249115949 scopus 로고    scopus 로고
    • On a Tauberian theorem arising in the theory of singular symmetric functionals
    • A. A. Sedaev, "On a Tauberian theorem arising in the theory of singular symmetric functionals" Vestnik Moskov. Univ. Ser. Fiz. Mat., No. 1, 146-148 (2004).
    • (2004) Vestnik Moskov. Univ. Ser. Fiz. Mat. , Issue.1 , pp. 146-148
    • Sedaev, A.A.1
  • 11
    • 0003847267 scopus 로고
    • Oxford: Oxford Univ. Press
    • G. Hardy, Divergent Series (Oxford Univ. Press, Oxford, 1949).
    • (1949) Divergent Series
    • Hardy, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.