Abstract
A generalization is given of the familiar result of Philips on the nonexistence of a projector from m onto c0. The results obtained imply, for example, the following consequence. Ifthe Orlicz space L *M ≠EM, there is no projector from L *M onto EM and EM is not isomorphic to any conjugate Banach space.
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Literature cited
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Additional information
Translated from Matematicheskie Zametki, Vol. 4, No. 1, pp. 41–44, July, 1968.
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Lozanovskii, G.Y. Projectors in certain Banach lattices. Mathematical Notes of the Academy of Sciences of the USSR 4, 514–516 (1968). https://doi.org/10.1007/BF01429812
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DOI: https://doi.org/10.1007/BF01429812