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Minimal and co-minimal projections in spaces of continuous functions

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Abstrakty
EN
Minimal and co-minimal projections in the space C[0, 1] are studied. We construct a minimal and co-minimal projection from C[0, 1] onto a subspace Y defined in the introduction.
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457--464
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
Bibliografia
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  • [17] G. Lewicki, G. Marino, P. Pietramala, Fourier-type minimal extensions in real L1-space, Rocky Mountain J. Math. 30 (2000), 1025–1037.
  • [18] G. Lewicki, M. Prophet, Codimension-one minimal projections onto Haar subspaces, J. Approx. Theory 127 (2004), 198–206.
  • [19] P. Lambert, Minimum norm property of the Fourier projection in spaces of continouous function, Bull. Soc. Math. Belg. 21 (1969).
  • [20] P. Lambert, Minimum norm property of the Fourier projection in spaces of L1-spaces, Bull. Soc. Math. Belg. 21 (1969), 370–391.
  • [21] W. Odyniec, G. Lewicki, Minimal projections in Banach Spaces, [in:] Lectures Notes in Mathematics, vol. 1449, Springer, Berlin-Heilderberg-New York, 1990.
  • [22] R. Phelps, Lectures on Choquet’s Theorem, [in:] D. Van Nistrand Company, 1449 (1996), Springer, New York.
  • [23] B. Randriannantoanina, One-complemmaented subspaces of real sequence spaces, Results Math. 33 (1998), 139–154.
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  • [25] L. Skrzypek, B. Shekhtman, Uniqueness of minimal projections onto two-dimensional subspaces, Studia Math. 168 (2005), 237–284.
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  • [28] P. Wojtaszczyk, Banach Spaces for Analysts, Cambridge Univ. Press, 1991.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-AGHT-0003-0018
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