On complete, precompact and compact sets

• Autores: Leonhard Frerick
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 44, Fasc. 1-3, 1993, págs. 105-114
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Completeness criterion of W. Robertson is generalized. Applications to vector valued sequences and to spaces of linear mappings are given.

• Referencias bibliográficas
  • J. Bonet, S. Dierolf, Fréchet spaces of Moscatelli type, Revista Math. de la Universidad Complutense Madrid 2 (1989).
  • S. Dierolf, On spaces of continuous linear mappings between locally convex spaces, Note di Matematica 5 (1985).
  • H. Heuser, Funktionalanalysis, Teubner, Stuttgart, 1986.
  • R.C. James, A separable somewhat reflexive Banach space with non-separable dual, Bull. Amer. Math. Soc. 80 Num. 4, (1974).
  • G. Köthe, Topological vector Spaces I, Springer, Berlin Heidelberg New York, 1969.
  • G. Köthe, Topological Vector Spaces II, Springer, Berlin Heidelberg New York, 1979.
  • W. Robertson, Completions of topological vector spaces, Proc. London Math. Soc. III, ser 8, (1958).
  • W.M. Reuss, W.H. Summers, Compactness in spaces of vector valued continuous functions and asymptotic almost periodicity, Math. Nachr. 135...