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Best approximations and orthogonalities in $2k$-inner product

Mircea Crasmareanu|김성식
대한수학회 (The Korean Mathematical Society)|2006.05|대한수학회보 (Bulletin of the KMS)|제43권 제2호|pp. 377-387

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주제분류수학

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Abstract

In this paper, some characterizations of representa-tion for continuous linear functionals on 2 k-inner product spaces interms of best approximations and orthogonalities are given.

참고문헌 (11)

  1. "Projections on complete, finite-dimensional Riemannian manifolds", 33, pp.185~194 (1995)
  2. "inner products and Riemannian Metrics", 18 (2000)
  3. "inner products in real linear spaces", (3), pp.645~656 (2002)
  4. "A characterization of elements of best approximation in real normed linear spaces", 33, pp.74~
  5. "\ref \key 5 \bysame \paper Repersentation of continuous linearfunctionals on complete $SQ$-inner-product spaces \jour An. Univ.Timi\c soara Ser. \c Stiin\c t. Mat. \vol 30 \yr 1992 \pages241--250\endref"
  6. "\ref \key 6 \by S. S. Dragomir and I. Muntean \paper Linear andcontinuous functional on complete $Q$-inner product spaces \jourBabe\c s-Bolyai Univ. Sem. Math. Anal. \vol 7 \yr 1987\pages59--68 \endref"
  7. "\ref \key 7 \by S. S. Dragomir and N. M. Ionescu \paper Newproperties of $Q$-inner-product spaces \jour Zb. Rad."
  8. "\ref \key 8 \by R. C. James \paper Orthogonality and linearfunctionals in normed linear spaces \jour Trans. Amer. Math. Soc.\vol 61 \yr 1947 \pages 265--292 \endref"
  9. "and S. S. Dragomir \paperOrthogonalities and decomposition theorems for $2k$-normed spacesand applications \jour preprint \endref"
  10. "Some remarks on orthogonality and best approximation", 30(2), pp.293~300 (1997)
  11. "Best Approximation in Normed Linear Spaces by elements of Linear Subspaces" (1970), Springer-Verlag

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