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Volumn 48, Issue 6, 1996, Pages 1273-1285

Compactness of a locally compact group G and geometric properties of Ap(G)

Author keywords

Amenable groups; Dunford Pettis property; Herz algebra; Locally compact groups; Radon Nikodym property; Schur property

Indexed keywords


EID: 0030377025     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-1996-067-0     Document Type: Article
Times cited : (9)

References (23)
  • 1
    • 0002113036 scopus 로고
    • Operations induced in function classes
    • R. Arens, Operations induced in function classes, Monatsh. Math. 55(1951), 1-19.
    • (1951) Monatsh. Math. , vol.55 , pp. 1-19
    • Arens, R.1
  • 2
    • 84968513051 scopus 로고
    • The adjoint of a bilinear operation
    • _, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2(1951), 839-848.
    • (1951) Proc. Amer. Math. Soc. , vol.2 , pp. 839-848
  • 3
    • 0003689418 scopus 로고
    • Geometric aspectsof convex sets with the Radon-Nikodym property
    • Springer-Verlag
    • R. Bourgin, Geometric aspectsof convex sets with the Radon-Nikodym property, Lecture Notes in Math. 993, Springer-Verlag, 1983.
    • (1983) Lecture Notes in Math. , vol.993
    • Bourgin, R.1
  • 4
    • 0002610462 scopus 로고
    • The Dunford-Pettis property in the predual of a Von Neumann algebra
    • L. J. Bunce, The Dunford-Pettis property in the predual of a Von Neumann algebra, Proc. Amer. Math. Soc. 116(1992), 99-100.
    • (1992) Proc. Amer. Math. Soc. , vol.116 , pp. 99-100
    • Bunce, L.J.1
  • 5
    • 0040952133 scopus 로고
    • An application of Littlewood-Paley theory in harmonic analysis
    • M. Cowling, An application of Littlewood-Paley theory in harmonic analysis, Math. Ann. 241(1979) 83-96.
    • (1979) Math. Ann. , vol.241 , pp. 83-96
    • Cowling, M.1
  • 6
    • 0004043028 scopus 로고
    • Sequences and series in Banach spaces
    • Springer-Verlag, New York
    • J. Diestel, Sequences and series in Banach spaces, Graduate Texts in Math., Springer-Verlag, New York, 1984.
    • (1984) Graduate Texts in Math.
    • Diestel, J.1
  • 7
    • 0002573401 scopus 로고
    • A survey of results related to the Dunford-Pettis property
    • _, A survey of results related to the Dunford-Pettis property, Contemporary Math. 2(1980), 15-60.
    • (1980) Contemporary Math. , vol.2 , pp. 15-60
  • 9
    • 0000846323 scopus 로고
    • Arens regularity and discrete groups
    • B. Forrest, Arens regularity and discrete groups, Pacific J. Math. 151(1991), 217-227.
    • (1991) Pacific J. Math. , vol.151 , pp. 217-227
    • Forrest, B.1
  • 10
    • 0001560885 scopus 로고
    • p(G) for locally compact groups
    • p(G) for locally compact groups, Colloq. Math. 52(1987), 119-132.
    • (1987) Colloq. Math. , vol.52 , pp. 119-132
    • Granirer, E.E.1
  • 11
    • 0011025520 scopus 로고
    • An application of the Radon-Nikodym property in harmonic analysis
    • _, An application of the Radon-Nikodym property in harmonic analysis, Bull. Un. Mat. Ital. B(5)18 (1981), 663-671.
    • (1981) Bull. Un. Mat. Ital. B , vol.18 , Issue.5 , pp. 663-671
  • 12
    • 0000587633 scopus 로고
    • On some topologies which coincide on the unit sphere of the Fourier-Stieltjes algebra B(G) and of the measure algebra M(G)
    • E. E. Granirer and M. Leinert, On some topologies which coincide on the unit sphere of the Fourier-Stieltjes algebra B(G) and of the measure algebra M(G), Rocky Mountain J. Math. 11(1981), 459-472.
    • (1981) Rocky Mountain J. Math. , vol.11 , pp. 459-472
    • Granirer, E.E.1    Leinert, M.2
  • 14
    • 0003168155 scopus 로고
    • Harmonic synthesis for subgroups
    • C. Herz, Harmonic synthesis for subgroups, Ann. Inst. Fourier (Grenoble) 23(1973), 91-123.
    • (1973) Ann. Inst. Fourier (Grenoble) , vol.23 , pp. 91-123
    • Herz, C.1
  • 16
    • 0039173560 scopus 로고
    • The Radon-Nikodym property
    • R. Huff, The Radon-Nikodym property, Contemporary Math. 2(1980), 75-89.
    • (1980) Contemporary Math. , vol.2 , pp. 75-89
    • Huff, R.1
  • 17
    • 84968513709 scopus 로고
    • Some geometric properties on the Fourier and Fourier Stieltjes algebras of locally compact groups, arens regularity and related problems
    • A. T. Lau and A. Ülger, Some geometric properties on the Fourier and Fourier Stieltjes algebras of locally compact groups, Arens regularity and related problems, Trans. Amer. Math. Soc. 337(1993), 321-359.
    • (1993) Trans. Amer. Math. Soc. , vol.337 , pp. 321-359
    • Lau, A.T.1    Ülger, A.2
  • 19
    • 84880033723 scopus 로고
    • Classes of nonabelian, noncompact locally compact groups
    • T. W. Palmer, Classes of nonabelian, noncompact locally compact groups, Rocky Mountain J. Math. 8(1973), 683-741.
    • (1973) Rocky Mountain J. Math. , vol.8 , pp. 683-741
    • Palmer, T.W.1
  • 20
    • 0003290741 scopus 로고
    • Amenability
    • Providence, Rhode Island
    • A. L. T. Paterson, Amenability, Amer. Math. Soc., Providence, Rhode Island, 1988.
    • (1988) Amer. Math. Soc.
    • Paterson, A.L.T.1
  • 22
    • 0002431379 scopus 로고
    • Geometry of Fourier algebras and locally compact groups with atomic representations
    • K. Taylor, Geometry of Fourier algebras and locally compact groups with atomic representations, Math. Ann. 262(1983), 183-190.
    • (1983) Math. Ann. , vol.262 , pp. 183-190
    • Taylor, K.1
  • 23
    • 84974005489 scopus 로고
    • Arens regularity sometimes implies the RNP
    • A. Ülger, Arens regularity sometimes implies the RNP, Pacific J. Math. 143(1990), 377-399.
    • (1990) Pacific J. Math. , vol.143 , pp. 377-399
    • Ülger, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.