메뉴 건너뛰기




Volumn 10, Issue 5, 2000, Pages 1171-1201

Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034553350     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001650     Document Type: Article
Times cited : (12)

References (35)
  • 1
    • 0003952718 scopus 로고
    • Minimal Flows and Their Extensions
    • North-Holland, Amsterdam-NY-London-Tokyo
    • J. AUSLANDER, Minimal Flows and Their Extensions, North-Holland Mathematics Studies 153, North-Holland, Amsterdam-NY-London-Tokyo, 1988.
    • (1988) North-Holland Mathematics Studies , vol.153
    • Auslander, J.1
  • 2
    • 0000334777 scopus 로고
    • Amenable unitary representations of locally compact groups
    • M.E.B. BEKKA, Amenable unitary representations of locally compact groups, Invent. Math. 100 (1990), 383-401.
    • (1990) Invent. Math. , vol.100 , pp. 383-401
    • Bekka, M.E.B.1
  • 3
    • 0003934331 scopus 로고
    • Lectures on topological dynamics
    • W.A. Benjamin Inc., New York
    • R. ELLIS, Lectures on Topological Dynamics, Mathematical Lecture Note Series, W.A. Benjamin Inc., New York, 1969.
    • (1969) Mathematical Lecture Note Series
    • Ellis, R.1
  • 5
    • 0002649030 scopus 로고
    • The dimension of almost spherical sections of convex bodies
    • T. FIGIEL, J. LINDENSTRAUSS, V.D. MILMAN, The dimension of almost spherical sections of convex bodies, Acta Math. 139 (1977), 53-94.
    • (1977) Acta Math. , vol.139 , pp. 53-94
    • Figiel, T.1    Lindenstrauss, J.2    Milman, V.D.3
  • 6
    • 0001678313 scopus 로고
    • Topological group structures of infinite symmetric groups
    • E.D. GAUGHAN, Topological group structures of infinite symmetric groups, Proc. Nat. Acad. Sci. USA 58 (1967), 907-910.
    • (1967) Proc. Nat. Acad. Sci. USA , vol.58 , pp. 907-910
    • Gaughan, E.D.1
  • 7
    • 0000647395 scopus 로고    scopus 로고
    • On minimal actions of Polish groups
    • S. GLASNER, On minimal actions of Polish groups, Top. Appl. 85 (1998), 119-125.
    • (1998) Top. Appl. , vol.85 , pp. 119-125
    • Glasner, S.1
  • 8
    • 0038413525 scopus 로고
    • Lie transformation groups
    • "Lie Groups and Lie Algebras I", (A.L. Onishchik, ed.), Springer-Verlag, Berlin a.o.
    • V.V. GORBATSEVICH, A.L. ONISHCHIK, Lie transformation groups, in "Lie Groups and Lie Algebras I" (Encyclopaedia of Mathematical Sciences, Vol. 20), (A.L. Onishchik, ed.), Springer-Verlag, Berlin a.o., (1993), 95-229.
    • (1993) Encyclopaedia of Mathematical Sciences , vol.20 , pp. 95-229
    • Gorbatsevich, V.V.1    Onishchik, A.L.2
  • 9
    • 0037570281 scopus 로고
    • Extremely amenable semigroups 2
    • E. GRANIRER, Extremely amenable semigroups 2, Math. Scand. 20 (1967), 93-113.
    • (1967) Math. Scand. , vol.20 , pp. 93-113
    • Granirer, E.1
  • 10
    • 0003287331 scopus 로고
    • Invariant means on topological groups
    • Van Nostrand - Reinhold Co., NY-Toronto-London-Melbourne
    • F.P. GREENLEAF, Invariant Means on Topological Groups, Van Nostrand Mathematical Studies 16, Van Nostrand - Reinhold Co., NY-Toronto-London-Melbourne, 1969.
    • (1969) Van Nostrand Mathematical Studies , vol.16
    • Greenleaf, F.P.1
  • 11
    • 0039309296 scopus 로고
    • Compactifications of spaces of functions and integration of functional
    • L.Š. GRINBLAT, Compactifications of spaces of functions and integration of functional, Trans. Amer. Math. Soc. 217 (1976), 195-223.
    • (1976) Trans. Amer. Math. Soc. , vol.217 , pp. 195-223
    • Grinblat, L.Š.1
  • 12
    • 0003268230 scopus 로고    scopus 로고
    • Metric structures for Riemannian and non-Riemannian spaces
    • Birkhäuser Boston, Inc., Boston, MA
    • M. GROMOV, Metric structures for Riemannian and non-Riemannian spaces, Progress in Mathematics 152, Birkhäuser Boston, Inc., Boston, MA, 1999.
    • (1999) Progress in Mathematics , vol.152
    • Gromov, M.1
  • 13
    • 0000535132 scopus 로고
    • A topological application of the isoperimetric inequality
    • M. GROMOV, V.D. MILMAN, A topological application of the isoperimetric inequality, Amer. J. Math. 105 (1983), 843-854.
    • (1983) Amer. J. Math. , vol.105 , pp. 843-854
    • Gromov, M.1    Milman, V.D.2
  • 14
    • 0009228642 scopus 로고
    • Moyennabilité de quelques groupes topologiques de dimension infinie
    • P. DE LA HARPE, Moyennabilité de quelques groupes topologiques de dimension infinie, C.R. Acad. Sc. Paris, Sér. A 277 (1973), 1037-1040.
    • (1973) C.R. Acad. Sc. Paris, Sér. A , vol.277 , pp. 1037-1040
    • De La Harpe, P.1
  • 15
    • 51249186303 scopus 로고
    • Simplicity of the projective unitary groups defined by simple factors
    • P. DE LA HARPE, Simplicity of the projective unitary groups defined by simple factors, Comment. Math. Helv. 54 (1979), 334-345.
    • (1979) Comment. Math. Helv. , vol.54 , pp. 334-345
    • De La Harpe, P.1
  • 16
    • 0013476178 scopus 로고
    • On the existence of pathological submeasures and the construction of exotic topological groups
    • W. HERER, J.P.R. CHRISTENSEN, On the existence of pathological submeasures and the construction of exotic topological groups, Math. Ann. 213 (1975), 203-210.
    • (1975) Math. Ann. , vol.213 , pp. 203-210
    • Herer, W.1    Christensen, J.P.R.2
  • 17
    • 84968476576 scopus 로고
    • Infinite unitary groups
    • R. KADISON, Infinite unitary groups, Trans. Amer. Math. Soc. 72 (1952), 386-399.
    • (1952) Trans. Amer. Math. Soc. , vol.72 , pp. 386-399
    • Kadison, R.1
  • 18
    • 85037781657 scopus 로고
    • a private letter to V.D. Milman, July 4
    • I. LEADER, a private letter to V.D. Milman, July 4, 1988.
    • (1988)
    • Leader, I.1
  • 19
    • 0001074905 scopus 로고
    • Constructions de suites symétriques
    • B. MAUREY, Constructions de suites symétriques, C.R. Acad. Sc. Paris, Sér. A-B 288 (1979), 679-681.
    • (1979) C.R. Acad. Sc. Paris, Sér. A-B , vol.288 , pp. 679-681
    • Maurey, B.1
  • 21
    • 0009288312 scopus 로고
    • n
    • Geometrical Aspects of Functional Analysis (Israel Seminar, 1985-86), Springer-Verlag, Berlin a.o.
    • n, in "Geometrical Aspects of Functional Analysis" (Israel Seminar, 1985-86), Lecture Notes in Math. 1267 (1987), Springer-Verlag, Berlin a.o., 13-20.
    • (1987) Lecture Notes in Math. , vol.1267 , pp. 13-20
    • Milman, V.D.1
  • 22
    • 0001203773 scopus 로고
    • The heritage of P. Lévy in geometric functional analysis
    • V.D. MILMAN, The heritage of P. Lévy in geometric functional analysis, Astérisque 157-158 (1988), 273-301.
    • (1988) Astérisque , vol.157-158 , pp. 273-301
    • Milman, V.D.1
  • 23
    • 0003270948 scopus 로고
    • Asymptotic theory of finite dimensional normed spaces
    • Springer-Verlag
    • V.D. MILMAN, G. SCHECHTMAN, Asymptotic Theory of Finite Dimensional Normed Spaces, Lecture Notes in Math. 1200, Springer-Verlag, 1986.
    • (1986) Lecture Notes in Math. , vol.1200
    • Milman, V.D.1    Schechtman, G.2
  • 24
    • 0001120681 scopus 로고
    • Topologies on the set of all subspaces of a Banach space and related questions of Banach space geometry
    • M.I. OSTROVSKII, Topologies on the set of all subspaces of a Banach space and related questions of Banach space geometry, Quaest. Math. 17 (1994), 259-319.
    • (1994) Quaest. Math. , vol.17 , pp. 259-319
    • Ostrovskii, M.I.1
  • 25
  • 26
    • 22444455818 scopus 로고    scopus 로고
    • On free actions, minimal flows, and a problem by Ellis
    • V.G. PESTOV, On free actions, minimal flows, and a problem by Ellis, Trans. Amer. Math. Soc. 350 (1998), 4149-4165.
    • (1998) Trans. Amer. Math. Soc. , vol.350 , pp. 4149-4165
    • Pestov, V.G.1
  • 27
    • 0001998550 scopus 로고    scopus 로고
    • Some universal constructions in abstract topological dynamics
    • "Topological Dynamics and its Applications", A Volume in Honor of Robert Ellis
    • V. PESTOV, Some universal constructions in abstract topological dynamics, in "Topological Dynamics and its Applications", A Volume in Honor of Robert Ellis, Contemp. Math. 215 (1998), 83-99.
    • (1998) Contemp. Math. , vol.215 , pp. 83-99
    • Pestov, V.1
  • 28
    • 0033560404 scopus 로고    scopus 로고
    • Amenable groups and measure concentration on spheres
    • V. PESTOV, Amenable groups and measure concentration on spheres, C.R. Acad. Sc. Paris, Sér. I, 328 (1999), 669-674.
    • (1999) C.R. Acad. Sc. Paris, Sér. I , vol.328 , pp. 669-674
    • Pestov, V.1
  • 29
    • 0003880246 scopus 로고
    • Springer-Verlag, Berlin-Neidelberg-NY; Reprinted, Springer
    • S. SAKAI, C*-Algebras and W*-Algebras, Springer-Verlag, Berlin-Neidelberg-NY, 1971; Reprinted, Springer, 1998.
    • (1971) C*-algebras and W*-algebras
    • Sakai, S.1
  • 30
  • 31
    • 0000347823 scopus 로고
    • Total minimality of the unitary groups
    • L. STOYANOV, Total minimality of the unitary groups, Math. Z. 187 (1984), 273-283.
    • (1984) Math. Z. , vol.187 , pp. 273-283
    • Stoyanov, L.1
  • 32
    • 51249165477 scopus 로고
    • Concentration of measure and isoperimetric inequalities in product spaces
    • M. TALAGRAND, Concentration of measure and isoperimetric inequalities in product spaces, Publ. Math. IHES 81 (1995), 73-205.
    • (1995) Publ. Math. IHES , vol.81 , pp. 73-205
    • Talagrand, M.1
  • 33
    • 0009286150 scopus 로고
    • Sur la représentation linéaire des groupes topologiques
    • S. TELEMAN, Sur la représentation linéaire des groupes topologiques, Ann. Sci. Ecole Norm. Sup. 74 (1957), 319-339.
    • (1957) Ann. Sci. Ecole Norm. Sup. , vol.74 , pp. 319-339
    • Teleman, S.1
  • 35
    • 0003356614 scopus 로고
    • Elements of topological dynamics
    • Kluwer Academic Publ., Dordrecht-Boston-London
    • J. DE VRIES, Elements of Topological Dynamics, Mathematics and Its Applications 257, Kluwer Academic Publ., Dordrecht-Boston-London, 1993.
    • (1993) Mathematics and Its Applications , vol.257
    • De Vries, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.