A Generalization of Echelon Spaces

• Crofts, George ^[1]
  1. [1] Virginia Polytechnic Institute and State University, Virginia
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 24, Fasc. 2, 1973, págs. 139-150
• Idioma: inglés
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• Resumen

  • In the sense that echelon spaces are projective limits of isometries of V, the concept is generalized to projective limits of linear homeomorphic images of V(E), where E is a locally convex space. Characterizations of those generalized echelon spaces which are nuclear spaces and those which are Schwartz spaces are given.