메뉴 건너뛰기




Volumn 158, Issue 3, 2011, Pages 484-491

Schwartz groups and convergence of characters

Author keywords

Continuous convergence; Locally uniform convergence; Schwartz group; Schwartz space

Indexed keywords


EID: 78650708898     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2010.11.025     Document Type: Article
Times cited : (1)

References (30)
  • 1
    • 0242694349 scopus 로고    scopus 로고
    • Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups
    • Außenhofer L. Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups. Dissertationes Math. (Rozprawy Mat.) 1999, 384.
    • (1999) Dissertationes Math. (Rozprawy Mat.) , vol.384
    • Außenhofer, L.1
  • 3
    • 59549083325 scopus 로고    scopus 로고
    • On the Glicksberg Theorem for locally quasi-convex Schwartz groups
    • Außenhofer L. On the Glicksberg Theorem for locally quasi-convex Schwartz groups. Fund. Math. 2008, 201(2):163-177.
    • (2008) Fund. Math. , vol.201 , Issue.2 , pp. 163-177
    • Außenhofer, L.1
  • 4
    • 0003208315 scopus 로고
    • Additive Subgroups of Topological Vector Spaces
    • Springer-Verlag, Berlin
    • Banaszczyk W. Additive Subgroups of Topological Vector Spaces. Lecture Notes in Math. 1991, vol. 1466. Springer-Verlag, Berlin.
    • (1991) Lecture Notes in Math. , vol.1466
    • Banaszczyk, W.1
  • 5
    • 0009089358 scopus 로고    scopus 로고
    • The Glicksberg theorem on weakly compact sets for nuclear groups
    • New York Acad. Sci., New York, Papers on General Topology and Applications
    • Banaszczyk W., Martín-Peinador E. The Glicksberg theorem on weakly compact sets for nuclear groups. Ann. New York Acad. Sci. 1996, vol. 788:34-39. New York Acad. Sci., New York.
    • (1996) Ann. New York Acad. Sci. , vol.788 , pp. 34-39
    • Banaszczyk, W.1    Martín-Peinador, E.2
  • 7
    • 0010107874 scopus 로고
    • Continuous Convergence on C(X)
    • Springer-Verlag, Berlin, New York
    • Binz E. Continuous Convergence on C(X). Lecture Notes in Math. 1975, vol. 469. Springer-Verlag, Berlin, New York.
    • (1975) Lecture Notes in Math. , vol.469
    • Binz, E.1
  • 8
    • 0001038856 scopus 로고
    • A question of Valdivia on quasi-normable Fréchet spaces
    • Bonet J. A question of Valdivia on quasi-normable Fréchet spaces. Canad. Math. Bull. 1991, 34(3):301-304.
    • (1991) Canad. Math. Bull. , vol.34 , Issue.3 , pp. 301-304
    • Bonet, J.1
  • 9
    • 84968490672 scopus 로고
    • Two theorems of Josefson-Nissenzweig type for Fréchet spaces
    • Bonet J., Lindström M., Valdivia M. Two theorems of Josefson-Nissenzweig type for Fréchet spaces. Proc. Amer. Math. Soc. 1993, 117(2):363-364.
    • (1993) Proc. Amer. Math. Soc. , vol.117 , Issue.2 , pp. 363-364
    • Bonet, J.1    Lindström, M.2    Valdivia, M.3
  • 10
    • 52449090170 scopus 로고    scopus 로고
    • An approach to duality on abelian precompact groups
    • Chasco M.J., Martín-Peinador E. An approach to duality on abelian precompact groups. J. Group Theory 2008, 11(5):635-643.
    • (2008) J. Group Theory , vol.11 , Issue.5 , pp. 635-643
    • Chasco, M.J.1    Martín-Peinador, E.2
  • 12
    • 0010876241 scopus 로고
    • Factoring operators through c0
    • Dazord J. Factoring operators through c0. Math. Ann. 1976, 220:105-122.
    • (1976) Math. Ann. , vol.220 , pp. 105-122
    • Dazord, J.1
  • 13
    • 0003314156 scopus 로고
    • Sequences and Series in Banach Spaces
    • Springer-Verlag, New York
    • Diestel J. Sequences and Series in Banach Spaces. Grad. Texts in Math. 1984, vol. 92. Springer-Verlag, New York.
    • (1984) Grad. Texts in Math. , vol.92
    • Diestel, J.1
  • 14
    • 51649184089 scopus 로고
    • Uniform structures and square roots in topological groups I
    • Enflo P. Uniform structures and square roots in topological groups I. Israel J. Math. 1970, 8:230-252.
    • (1970) Israel J. Math. , vol.8 , pp. 230-252
    • Enflo, P.1
  • 15
    • 84961475044 scopus 로고
    • Lokalkonvexe Sequenzen mit kompakten Abbildungen
    • (in German)
    • Floret K. Lokalkonvexe Sequenzen mit kompakten Abbildungen. J. Reine Angew. Math. 1971, 247:155-195. (in German).
    • (1971) J. Reine Angew. Math. , vol.247 , pp. 155-195
    • Floret, K.1
  • 16
    • 69049114993 scopus 로고
    • Sur une notion de produit tensoriel topologique d'espaces vectoriels topologiques, et une classe remarquable d'espaces vectoriels liée à cette notion
    • (in French)
    • Grothendieck A. Sur une notion de produit tensoriel topologique d'espaces vectoriels topologiques, et une classe remarquable d'espaces vectoriels liée à cette notion. C. R. Acad. Sci. Paris 1951, 233:1556-1558. (in French).
    • (1951) C. R. Acad. Sci. Paris , vol.233 , pp. 1556-1558
    • Grothendieck, A.1
  • 17
    • 18444411468 scopus 로고
    • Résumé des résultats essentiels dans la théorie des produits tensoriels topologiques et des espaces nucléaires
    • (in French)
    • Grothendieck A. Résumé des résultats essentiels dans la théorie des produits tensoriels topologiques et des espaces nucléaires. Ann. Inst. Fourier (Grenoble) 1954, 4(1952):73-112. (in French).
    • (1954) Ann. Inst. Fourier (Grenoble) , vol.4 , Issue.1952 , pp. 73-112
    • Grothendieck, A.1
  • 18
    • 0002805618 scopus 로고
    • Sur les espaces (F) et (DF)
    • (in French)
    • Grothendieck A. Sur les espaces (F) et (DF). Summa Brasil. Math. 1954, 3:57-123. (in French).
    • (1954) Summa Brasil. Math. , vol.3 , pp. 57-123
    • Grothendieck, A.1
  • 19
    • 0004006360 scopus 로고
    • Instituto de Matemática Pura e Aplicada, Universidade de São Paulo, São Paulo, (mimeographies, in French)
    • Grothendieck A. Espaces vectoriels topologiques 1954, Instituto de Matemática Pura e Aplicada, Universidade de São Paulo, São Paulo, (mimeographies, in French).
    • (1954) Espaces vectoriels topologiques
    • Grothendieck, A.1
  • 20
    • 75849141878 scopus 로고
    • Zur Theorie der lokal-kompakten Abelschen Gruppen
    • (in German)
    • Hartman S., Ryll-Nardzewski C. Zur Theorie der lokal-kompakten Abelschen Gruppen. Colloq. Math. 1957, 4:157-188. (in German).
    • (1957) Colloq. Math. , vol.4 , pp. 157-188
    • Hartman, S.1    Ryll-Nardzewski, C.2
  • 22
    • 34250454030 scopus 로고
    • Duale Charakterisierungen der Schwartz-Räume
    • (in German)
    • Jarchow H. Duale Charakterisierungen der Schwartz-Räume. Math. Ann. 1972, 196:85-90. (in German).
    • (1972) Math. Ann. , vol.196 , pp. 85-90
    • Jarchow, H.1
  • 23
    • 0003359582 scopus 로고
    • Locally Convex Spaces
    • B.G. Teubner, Stuttgart
    • Jarchow H. Locally Convex Spaces. Math. Leitfäden 1981, B.G. Teubner, Stuttgart.
    • (1981) Math. Leitfäden
    • Jarchow, H.1
  • 24
    • 0010959620 scopus 로고
    • Extensions of the Pontrjagin duality II: Direct and inverse sequences
    • Kaplan S. Extensions of the Pontrjagin duality II: Direct and inverse sequences. Duke Math. J. 1950, 17:419-435.
    • (1950) Duke Math. J. , vol.17 , pp. 419-435
    • Kaplan, S.1
  • 25
    • 0040738036 scopus 로고
    • General Topology
    • reprint of the 1955 edition, Springer-Verlag, New York, Berlin
    • Kelley J.L. General Topology. Grad. Texts in Math. 1975, vol. 27. reprint of the 1955 edition, Springer-Verlag, New York, Berlin.
    • (1975) Grad. Texts in Math. , vol.27
    • Kelley, J.L.1
  • 26
    • 0010816361 scopus 로고
    • A characterization of Schwartz spaces
    • Lindström M. A characterization of Schwartz spaces. Math. Z. 1988, 198:423-430.
    • (1988) Math. Z. , vol.198 , pp. 423-430
    • Lindström, M.1
  • 27
    • 0010816015 scopus 로고
    • A Josefson-Nissenzweig theorem for Fréchet spaces
    • Lindström M., Schlumprecht T. A Josefson-Nissenzweig theorem for Fréchet spaces. Bull. Lond. Math. Soc. 1993, 25:55-58.
    • (1993) Bull. Lond. Math. Soc. , vol.25 , pp. 55-58
    • Lindström, M.1    Schlumprecht, T.2
  • 28
    • 2442660141 scopus 로고    scopus 로고
    • A property of Dunford-Pettis type in topological groups
    • Martín-Peinador E., Tarieladze V. A property of Dunford-Pettis type in topological groups. Proc. Amer. Math. Soc. 2003, 132:1727-1837.
    • (2003) Proc. Amer. Math. Soc. , vol.132 , pp. 1727-1837
    • Martín-Peinador, E.1    Tarieladze, V.2
  • 29
    • 78650685529 scopus 로고
    • On the characterization of Schwartz spaces by properties of the norm
    • Rolewicz S. On the characterization of Schwartz spaces by properties of the norm. Studia Math. 1961, 20:87-92.
    • (1961) Studia Math. , vol.20 , pp. 87-92
    • Rolewicz, S.1
  • 30
    • 11144240916 scopus 로고
    • Metric Linear Spaces
    • D. Reidel Publishing Co./PWN - Polish Scientific Publishers, Dordrecht/Warsaw
    • Rolewicz S. Metric Linear Spaces. Math. Appl. (East European Series) 1985, vol. 20. D. Reidel Publishing Co./PWN - Polish Scientific Publishers, Dordrecht/Warsaw. second ed.
    • (1985) Math. Appl. (East European Series) , vol.20
    • Rolewicz, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.