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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1968 Volume 4, Issue 1, Pages 41–44 (Mi mzm6741)

This article is cited in 2 papers

Projectors in certain Banach lattices

G. Ya. Lozanovskii


Abstract: A generalization is given of the familiar result of Philips on the nonexistence of a projector from $m$ onto $c_0$. The results obtained imply, for example, the following consequence. Ifthe Orlicz space $L_M^*\ne E_M$, there is no projector from $L_M^*$ onto $E_m$ and $E_m$ is not isomorphic to any conjugate Banach space.

UDC: 513.88

Received: 21.11.1967


 English version:
Mathematical Notes, 1968, 4:1, 514–516

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