대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권2호
  • /
  • Pages.211-219
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

A CHARACTERIZATION OF REFLEXIVITY OF NORMED ALMOST LINEAR SPACES

  • Im, Sung-Mo (Department of Mathematics, Chungbuk National University) ;
  • Lee, Sang-Han (Department of Mathematics, Chungbuk National University)
  • 발행 : 1997.04.01
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초록

In [6] we proved that if a nals X is reflexive, then $X = W_X + V_X$ . In this paper we show that, for a split nals $X = W_X + V_X$, X is reflecxive if and only if $V_X$ and $W_X$ are reflcxive.

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참고문헌

  1. Normed linear spaces M. M. Day
  2. Linear operators, Pure and applied Mathematics v.7 N. Dunford;J. Schwarz
  3. Suppl. Rend. Cire. Mat. Palermo II. Ser. v.5 Proceedings of the 12th Winter School on Abstract Analysis
  4. An approach to generalizzing Banach spaces;Normed almost linear spaces G. Godini
  5. J. Approximation Theory v.43 A framework for best simultaneous approximation;Normed almost linear spaces G. Godini
  6. Math. Ann. v.279 On Normed Almost Linear Spaces G. Godini
  7. Korean Math. Soc. v.10 Reflexivity of normed almost linear spaces, Comm. S. H. Lee