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Lower bounds for the norms of projections with small kernels
Published online by Cambridge University Press: 17 April 2009
Abstract
Popov has recently introduced a class of subspaces of Lp(μ) (μ nonatomic) which generalise the finite codimensional ones, and proved that for p ≠ 2 any projection onto such a subspace has a norm strictly greater than one. In this paper we give the quantitative version of Popov's result computing the best possible lower bound for the norms of the considered projections.
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- Copyright © Australian Mathematical Society 1992
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