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I-sets and cominimal projections

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Let Y [...] be a subspace of codimension two. For n = 4 the formula for cominimal projections will be presented. For n = 5 the complete characterization of I-sets which determined cominimal projections and consequently the manner of finding cominimal projections will be given. This completes the results from [15].
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Bibliografia
  • [1] J. Blatter and E. W. Cheney, Minimal projections onto hyperplanes in sequence spaces, Ann. Mat. Pura Appl. 101 (1974), 215-227.
  • [2] B. L. Chalmers and G. Lewicki, Symmetric spaces with maximal projection constant, Journal of Functional Analysis (2002), (2003) 1-22.
  • [3] B. L. Chalmers and F. T. Metcalf, The determination of minimal projections and extensions in L1, Trans. Amer. Math. Soc. 329 (1992), 289-305.
  • [4] E. W. Cheney, Introduction to Approximation Theory, Mc Grow Hill, New York, 1966.
  • [5] E. W. Cheney and C. Franchetti, Minimal projections in L1 Spaces, Duke Math. J. 43(3) (1976), 501-510, MR 54 #11044.
  • [6] E. W. Cheney, C. R. Hobby, P. D. Morris, F. Schurer and D. E. Wulbert, On the minimal property of the Fourier projections, Trans. Amer. Math. Soc. 143 (1969), 249-258, MR 41 #704.
  • [7] E. W. Cheney and W. A. Light, Approximation theory in tensor product spaces, Lecture Notes in Math., vol. 1169, Springer - Verlag, 1985.
  • [8] S. D. Fisher, P. D. Morris and D. E. Wulbert, Unique minimality of Fourier projections, Trans. Amer. Math. Soc., 265 (1981), 235-246.
  • [9] C. Franchetti, Projections onto hyperplanes in Banach spaces, J. Approx. Theory, 38 (1983), 319-333.
  • [10] J. E. Jamison, A. Kaminska and G. Lewicki, One complemented subspaces of Musielak - Orlicz sequence spaces, J. Approx. Theory, 30 (2004), 1-37.
  • [11] H. Koenig and N. Tomczak - Jaegermann, Norms of minimal projections, J. Funct. Anal. 119 (1994), 253-280.
  • [12] H. Koenig, C. Schuett and N. Tomczak - Jaegermann, Projection constants of symmetric spaces and variants of Khinchine's inequality, J. Reine und Angewandte Mathematic 511 (1999), 1-42.
  • [13] G. Lewicki, Minimal projections onto two dimensional subspaces of l41, J. Approx. Theory 88 (1997), 92-108.
  • [14] G. Lewicki and M. Prophet, Codimension - one minimal projections onto Haar subspaces, J. Approx. Theory, (27,2), (2004), 198-206.
  • [15] A. Lipieta, Cominimal projections in ln1 , J. Approx. Theory 96 (1999), 86-100.
  • [16] W. Odyniec and G. Lewicki, Minimal projections in Banach spaces, Lecture Notes in Math. vol. 1449, Springer-Verlag, 1990.
  • [17] W. M. Ruess and C. Stegall, Extreme points in duals of operator spaces, Math. Ann. 261 (1982), 535-546.
  • [18] J. Sudolski and A. Wójcik, Some remarks on strong uniqueness of best approximation, J. Approx. Theory and its Appl. 6(2) (1990), 44-78.
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bwmeta1.element.baztech-article-BUS5-0004-0017
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