Journal of applied mathematics & informatics

  • 제5권2호
  • /
  • Pages.517-523
  • /
  • 1998
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  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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AN EMBEDDING THEOREM FOR NORMED ALMOST LINEAR SPACES

  • 발행 : 1998.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we prove that a normed almost linear space \hat{X} can be embedded in a normed linear space X when a normed almost linear space X has a basis and splits as X=V+W. Also we have a metric induced by a norm on a normed almost linear space as a corollary.

키워드

참고문헌

  1. Normed linear spaces M.M.Day
  2. Pure and applied Mathematics, 7 Linear operators Part 1 N.Dunford;J.Schwartz
  3. Proceedings of the 12th Winter School on Abstract Analysis(Srni 1984) Suppl. Rend. Circ. Mat. PalermoⅡ. Ser 5 An approach to generalizing Banach spaces: Normed almost linear spaces G.Godini
  4. J. Approx. Theory v.43 A framework for best simultaneous approximation: Normed almost linear spaces G.Godini
  5. Math. Ann. v.279 On Normed Alost Linear Spaces G.Godini
  6. Comm. Korean Math. Soc. v.10 Reflexivity of normed almost linear spaces S.H.Lee
  7. Bull. Korean Math. Soc. v.34 A metric induced by a norm on normed almost linear spaces S.M.Im:S.H.Lee
  8. Bull. Korean Math. Soc. v.34 Uniqueness of bases for almost linear spaces S.M.Im;S.H.Lee