메뉴 건너뛰기




Volumn 44, Issue 2, 2011, Pages 259-264

An operator space characterization of fréchet spaces not containing l1

Author keywords

Limited sets; Locally convex spaces; No containment of l1; Precompact operators.

Indexed keywords


EID: 84984685480     PISSN: 02086573     EISSN: 20809433     Source Type: Journal    
DOI: 10.7169/facm/1308749128     Document Type: Article
Times cited : (3)

References (11)
  • 3
    • 0005559187 scopus 로고
    • A dual characterization of Banach spaces not containing l1
    • G. Emmanuele, A dual characterization of Banach spaces not containing l1, Bull. Acad. Polon. Sci. 34 (1986), 155-160.
    • (1986) Bull. Acad. Polon. Sci , vol.34 , pp. 155-160
    • Emmanuele, G.1
  • 5
    • 84940240342 scopus 로고
    • On the selection of basic sequences in Fréchet spaces
    • R.H. Lohman, On the selection of basic sequences in Fréchet spaces, Bull. Inst. Math. Acad. Sinica 2 (1974), 145-152.
    • (1974) Bull. Inst. Math. Acad. Sinica 2 , pp. 145-152
    • Lohman, R.H.1
  • 6
    • 33644759154 scopus 로고    scopus 로고
    • Compact sets of compact operators in absence of l1
    • F. Mayoral, Compact sets of compact operators in absence of l1, Proc. Amer. Math. Soc. 129 (2000), 79-82.
    • (2000) Proc. Amer. Math. Soc , vol.129 , pp. 79-82
    • Mayoral, F.1
  • 7
    • 0011623777 scopus 로고
    • Compactness and collective compactness in spaces of compact operators
    • W.M. Ruess, Compactness and collective compactness in spaces of compact operators, J. Math. Anal. Appl. 84 (1981), 400-417.
    • (1981) J. Math. Anal. Appl , vol.84 , pp. 400-417
    • Ruess, W.M.1
  • 8
    • 5044235552 scopus 로고
    • A characterization of Banach spaces containing l1
    • H.P. Rosenthal, A characterization of Banach spaces containing l1, Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 2411-2413.
    • (1974) Proc. Nat. Acad. Sci. U.S.A , vol.71 , pp. 2411-2413
    • Rosenthal, H.P.1
  • 9
    • 33645913994 scopus 로고
    • On limitedness in locally convex spaces
    • Th. Schlumprecht, On limitedness in locally convex spaces, Arch. Math. 53 (1989), 65-74.
    • (1989) Arch. Math , vol.53 , pp. 65-74
    • Schlumprecht, Th.1
  • 10
    • 0002437371 scopus 로고
    • Théorie des distributions à valeurs vectorielles (I)
    • L. Schwartz, Théorie des distributions à valeurs vectorielles (I), Ann. Inst. Fourier 7 (1957), 1-141.
    • (1957) Ann. Inst. Fourier , vol.7 , pp. 1-141
    • Schwartz, L.1
  • 11
    • 0010161890 scopus 로고
    • Fréchet spaces with no subspaces isomorphic to l1
    • M. Valdivia, Fréchet spaces with no subspaces isomorphic to l1, Math. Japonica 38 (1993), 397-411.
    • (1993) Math. Japonica , vol.38 , pp. 397-411
    • Valdivia, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.