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Volumn 228, Issue 2, 2005, Pages 419-444

Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth

Author keywords

Differentiability; H lder continuity; Homomorphism; Infinite dimensional Lie group; Lipschitz continuity; Power map; Smoothness; Taylor expansion

Indexed keywords


EID: 27744545987     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2005.06.023     Document Type: Article
Times cited : (3)

References (22)
  • 1
    • 0002072631 scopus 로고
    • The various definitions of the derivative in linear topological spaces
    • V.I. Averbukh O.G. Smolyanov The various definitions of the derivative in linear topological spaces Russ. Math. Survey 23 1968 67-113
    • (1968) Russ. Math. Survey , vol.23 , pp. 67-113
    • Averbukh, V.I.1    Smolyanov, O.G.2
  • 2
    • 3242810561 scopus 로고    scopus 로고
    • Differential calculus over general base fields and rings
    • W.H. Bertram H. Glöckner K.-H. Neeb Differential calculus over general base fields and rings Expo. Math. 22 2004 213-282
    • (2004) Expo. Math. , vol.22 , pp. 213-282
    • Bertram, W.H.1    Glöckner, H.2    Neeb, K.-H.3
  • 4
    • 0002734990 scopus 로고    scopus 로고
    • Infinite-dimensional Lie groups without completeness restrictions
    • A. Strasburger (Ed.) Banach Center Publications Warsaw
    • H. Glöckner Infinite-dimensional Lie groups without completeness restrictions in: A. Strasburger (Ed.) Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups vol. 55 2002 Banach Center Publications Warsaw 43-59
    • (2002) Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups , vol.55 , pp. 43-59
    • Glöckner, H.1
  • 5
    • 21644431711 scopus 로고    scopus 로고
    • Conveniently Hölder homomorphisms are smooth in the convenient sense
    • H. Glöckner Conveniently Hölder homomorphisms are smooth in the convenient sense Ann. Global Anal. Geom. 27 2005 227-255
    • (2005) Ann. Global Anal. Geom. , vol.27 , pp. 227-255
    • Glöckner, H.1
  • 6
    • 13644274024 scopus 로고    scopus 로고
    • Smooth Lie groups over local fields of positive characteristic need not be analytic
    • H. Glöckner Smooth Lie groups over local fields of positive characteristic need not be analytic J. Algebra 285 2005 356-371
    • (2005) J. Algebra , vol.285 , pp. 356-371
    • Glöckner, H.1
  • 7
    • 33646740001 scopus 로고    scopus 로고
    • Every smooth p-adic Lie group admits a compatible analytic structure
    • to appear (cf. arXiv:math.GR/0312113)
    • H. Glöckner, Every smooth p-adic Lie group admits a compatible analytic structure, Forum Math., to appear (cf. arXiv:mAth.GR/0312113).
    • Forum Math.
    • Glöckner, H.1
  • 8
    • 27744584700 scopus 로고    scopus 로고
    • Fundamentals of direct limit Lie theory
    • to appear (cf. arXiv:math.GR/0403093)
    • H. Glöckner, Fundamentals of direct limit Lie theory, Compositio Math., to appear (cf. arXiv:mAth.GR/0403093).
    • Compositio Math.
    • Glöckner, H.1
  • 9
    • 22144456109 scopus 로고    scopus 로고
    • Infinite-dimensional Lie groups over topological fields
    • preprint (cf. arXiv:math.GR/0408008)
    • H. Glöckner, Infinite-dimensional Lie groups over topological fields, preprint (cf. arXiv:mAth.GR/0408008).
    • Glöckner, H.1
  • 10
    • 27744510482 scopus 로고    scopus 로고
    • Open problems in the theory of infinite-dimensional Lie groups
    • (manuscript based on a talk held at the 24th Workshop on Geometric Methods in Physics, Białowieża) in preparation
    • H. Glöckner, Open problems in the theory of infinite-dimensional Lie groups (manuscript based on a talk held at the 24th Workshop on Geometric Methods in Physics, Białowieża, 2005); in preparation.
    • (2005)
    • Glöckner, H.1
  • 11
    • 0042669975 scopus 로고    scopus 로고
    • Banach-Lie quotients, enlargibility, and universal complexifications
    • H. Glöckner K.-H. Neeb Banach-Lie quotients, enlargibility, and universal complexifications J. Reine Angew. Math. 560 2003 1-28
    • (2003) J. Reine Angew. Math. , vol.560 , pp. 1-28
    • Glöckner, H.1    Neeb, K.-H.2
  • 13
    • 84966236065 scopus 로고
    • The inverse function theorem of Nash and Moser
    • R. Hamilton The inverse function theorem of Nash and Moser Bull. Amer. Math. Soc. 7 1982 65-222
    • (1982) Bull. Amer. Math. Soc. , vol.7 , pp. 65-222
    • Hamilton, R.1
  • 19
    • 0039780355 scopus 로고
    • On infinite dimensional Lie groups
    • Preprint, Institute for Advanced Study, Princeton
    • J. Milnor, On infinite dimensional Lie groups, Preprint, Institute for Advanced Study, Princeton, 1982.
    • (1982)
    • Milnor, J.1
  • 20
    • 0001335921 scopus 로고
    • Remarks on infinite-dimensional Lie groups
    • B. DeWitt R. Stora (Eds.) North-Holland Amsterdam
    • J. Milnor Remarks on infinite-dimensional Lie groups in: B. DeWitt R. Stora (Eds.) Relativity, Groups and Topology II 1983 North-Holland Amsterdam 1008-1057
    • (1983) Relativity, Groups and Topology II , pp. 1008-1057
    • Milnor, J.1
  • 21
    • 0031493528 scopus 로고    scopus 로고
    • Sur l'intégrabilité des sous-algèbres de Lie en dimension infinie
    • T. Robart Sur l'intégrabilité des sous-algèbres de Lie en dimension infinie Canad. J. Math. 49 1997 820-839
    • (1997) Canad. J. Math. , vol.49 , pp. 820-839
    • Robart, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.