메뉴 건너뛰기




Volumn 65, Issue 6, 1999, Pages 760-769

Roughness and approximation of quasi-representations of amenable groups

Author keywords

Amenable group; Quasi representation; Topological group

Indexed keywords


EID: 33644691242     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02675591     Document Type: Article
Times cited : (20)

References (27)
  • 1
    • 0001260759 scopus 로고
    • On the stability of the linear functional equation
    • D. H. Hyers, "On the stability of the linear functional equation," Proc. Nat. Acad. Sci. USA, 27, No. 2, 222-224 (1941).
    • (1941) Proc. Nat. Acad. Sci. USA , vol.27 , Issue.2 , pp. 222-224
    • Hyers, D.H.1
  • 3
    • 0003762868 scopus 로고
    • Interscience Tracts on Pure and Applied Mathematics, New York-London
    • C. Ulam, A collection of mathematical problems, Interscience Tracts on Pure and Applied Mathematics, New York-London (1960).
    • (1960) A Collection of Mathematical Problems
    • Ulam, C.1
  • 4
    • 84966248021 scopus 로고
    • The stability of equation f(xy) = f(x)f(y)
    • J. Baker, J. Lawrence, and F. Zorzitto, "The stability of equation f(xy) = f(x)f(y)," Proc. Amer. Math. Soc., 74, No. 2, 242-246 (1979).
    • (1979) Proc. Amer. Math. Soc. , vol.74 , Issue.2 , pp. 242-246
    • Baker, J.1    Lawrence, J.2    Zorzitto, F.3
  • 5
    • 0002687582 scopus 로고
    • Zur Theorie der Charactere der Abelschen topologischen Gruppen
    • I. Gelfand, "Zur Theorie der Charactere der Abelschen topologischen Gruppen," Mat. Sb. [Math. USSR-Sb.], 9 (51), No. 1, 49-50 (1941).
    • (1941) Mat. Sb. [Math. USSR-Sb.] , vol.9 , Issue.1-51 , pp. 49-50
    • Gelfand, I.1
  • 6
    • 0002125211 scopus 로고
    • Jacobi fields and Finsler metrics on a compact Lie groups with an application to differential pinching problems
    • K. Grove, H. Karcher, and E. A. Roh, "Jacobi fields and Finsler metrics on a compact Lie groups with an application to differential pinching problems," Math. Ann., 211, No. 1, 7-21 (1974).
    • (1974) Math. Ann. , vol.211 , Issue.1 , pp. 7-21
    • Grove, K.1    Karcher, H.2    Roh, E.A.3
  • 7
    • 84963062989 scopus 로고
    • Approximately multiplicative functionals
    • B. E. Johnson, "Approximately multiplicative functionals," J. London Math. Soc., 34, No. 3, 489-510 (1986).
    • (1986) J. London Math. Soc. , vol.34 , Issue.3 , pp. 489-510
    • Johnson, B.E.1
  • 8
    • 0343992539 scopus 로고
    • Continuity of generalized homomorphisms
    • B. E. Johnson, "Continuity of generalized homomorphisms," Bull. London Math. Soc., 19, No. 1, 67-71 (1987).
    • (1987) Bull. London Math. Soc. , vol.19 , Issue.1 , pp. 67-71
    • Johnson, B.E.1
  • 9
    • 84962991632 scopus 로고
    • Approximately multiplicative maps between Banach algebras
    • B. E. Johnson, "Approximately multiplicative maps between Banach algebras," J. London Math. Soc., 37, No. 2, 294-316 (1988).
    • (1988) J. London Math. Soc. , vol.37 , Issue.2 , pp. 294-316
    • Johnson, B.E.1
  • 10
    • 51649169078 scopus 로고
    • On epsi;-representations
    • D. Kazhdan, "On epsi;-representations," Israel J. Math., 43, No. 4, 315-323 (1982).
    • (1982) Israel J. Math. , vol.43 , Issue.4 , pp. 315-323
    • Kazhdan, D.1
  • 11
    • 0001783370 scopus 로고
    • The stability of multiplicative semigroup homomorphisms to real normed algebras
    • J. W. Lawrence, "The stability of multiplicative semigroup homomorphisms to real normed algebras," Aequationes Math., 28, No. 1-2, 94-101 (1985).
    • (1985) Aequationes Math. , vol.28 , Issue.1-2 , pp. 94-101
    • Lawrence, J.W.1
  • 12
    • 0002037631 scopus 로고
    • The stability of homomorphisms and amenability, with applications to functional equations
    • G. L. Forti, "The stability of homomorphisms and amenability, with applications to functional equations," Abh. Math. Sem. Univ. Hamburg, 57, 215-226 (1987).
    • (1987) Abh. Math. Sem. Univ. Hamburg , vol.57 , pp. 215-226
    • Forti, G.L.1
  • 13
    • 0002088203 scopus 로고
    • The stability problem for transformations of the circle
    • D. Censer, "The stability problem for transformations of the circle," Proc. Roy. Soc. Edinburgh. Sect. A, 84, 279-281 (1979).
    • (1979) Proc. Roy. Soc. Edinburgh. Sect. A , vol.84 , pp. 279-281
    • Censer, D.1
  • 15
    • 41549119811 scopus 로고
    • Stability of representations and pseudocharacters
    • Moskov. Gos. Univ., Moscow
    • A. I. Shtern, "Stability of representations and pseudocharacters," in: Lomonosov Readings [in Russian], Moskov. Gos. Univ., Moscow (1983).
    • (1983) Lomonosov Readings [in Russian]
    • Shtern, A.I.1
  • 16
    • 23244452509 scopus 로고
    • A pseudocharacter that is determined by the Rademacher symbol
    • A. I. Shtern, "A pseudocharacter that is determined by the Rademacher symbol," Uspekhi Mat. Nauk [Russian Math. Surveys], 45, No. 3, 197-198 (1990).
    • (1990) Uspekhi Mat. Nauk [Russian Math. Surveys] , vol.45 , Issue.3 , pp. 197-198
    • Shtern, A.I.1
  • 19
    • 34249770884 scopus 로고
    • Continuous pseudocharacters on connected locally compact groups are characters
    • A. I. Shtern, "Continuous pseudocharacters on connected locally compact groups are characters," Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.], 27, No. 4, 94-96 (1993).
    • (1993) Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.] , vol.27 , Issue.4 , pp. 94-96
    • Shtern, A.I.1
  • 20
    • 0040374246 scopus 로고
    • Characterizations of the amenability in the class of connected locally compact groups
    • A. I. Shtern, "Characterizations of the amenability in the class of connected locally compact groups," Uspekhi Mat. Nauk [Russian Math. Surveys], 49, No. 2, 183-184 (1994).
    • (1994) Uspekhi Mat. Nauk [Russian Math. Surveys] , vol.49 , Issue.2 , pp. 183-184
    • Shtern, A.I.1
  • 21
    • 0342686152 scopus 로고
    • Pseudosymmetry. I
    • A. I. Shtern, "Pseudosymmetry. I," Russian J. Math. Phys., 2, No. 3, 353-382 (1994).
    • (1994) Russian J. Math. Phys. , vol.2 , Issue.3 , pp. 353-382
    • Shtern, A.I.1
  • 24
    • 0000908897 scopus 로고
    • Pseudocharacters on free groups, free semigroups, and some group constructions
    • V. A. Faiziev, "Pseudocharacters on free groups, free semigroups, and some group constructions," Uspekhi Mat. Nauk [Russian Math. Surveys], 43, No. 5, 225-226 (1988).
    • (1988) Uspekhi Mat. Nauk [Russian Math. Surveys] , vol.43 , Issue.5 , pp. 225-226
    • Faiziev, V.A.1
  • 25
    • 0000764119 scopus 로고    scopus 로고
    • Almost representations and quasi-symmetry
    • Lie Groups and Lie Algebras. B. P. Komrakov et al., editors, Math. Appl. (Soviet Ser.), Kluwer Acad. Publ., Dordrecht-Boston-London
    • A. I. Shtern, "Almost representations and quasi-symmetry," in: Lie Groups and Lie Algebras. Their Representations, Generalizations and Applications (B. P. Komrakov et al., editors), Vol. 433, Math. Appl. (Soviet Ser.), Kluwer Acad. Publ., Dordrecht-Boston-London (1998), pp. 337-358.
    • (1998) Their Representations, Generalizations and Applications , vol.433 , pp. 337-358
    • Shtern, A.I.1
  • 26
    • 0031319774 scopus 로고    scopus 로고
    • Triviality and Continuity of Pseudocharacters and Pseudorepresentations
    • A. I. Shtern, "Triviality and Continuity of Pseudocharacters and Pseudorepresentations," Russian J. Math. Phys., 5, No. 1, 135-138 (1997).
    • (1997) Russian J. Math. Phys. , vol.5 , Issue.1 , pp. 135-138
    • Shtern, A.I.1
  • 27
    • 34250297936 scopus 로고
    • Représentations approchées d'un groupe dans une algèbre de Banach
    • P. de la Harpe and M. Karoubi, "Représentations approchées d'un groupe dans une algèbre de Banach," Manuscripta Math., 22, No. 3, 297-310 (1977).
    • (1977) Manuscripta Math. , vol.22 , Issue.3 , pp. 297-310
    • De La Harpe, P.1    Karoubi, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.