Abstract
In the paper we construct a system of bounded functions which generates an uncomplemented subspace in the Lorentz space Λ(α) for all α∈(0,1). Lower bounds of the norms of the projector onto such subspaces are obtained.
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References
T. Ando, “Banachverbände und positive Projektionen,”Math. Z.,109, 121–130 (1969).
J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces. II.Function Spaces, Springer, Berlin (1979).
L. Tzafriri, “An isomorphic characterization ofL p andc 0 spaces. II,”Michigan Math. J.,18, 21–31 (1971).
S. G. Krein, Yu. I. Petunin, and E. M. Semenov,Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978).
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Translated fromMatematicheskie Zametki, Vol. 68, No. 1, pp. 57–65, July, 2000.
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Bryskin, I.B., Semenov, E.M. Uncomplemented subspaces of Lorentz spaces. Math Notes 68, 50–56 (2000). https://doi.org/10.1007/BF02674645
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DOI: https://doi.org/10.1007/BF02674645