Distinguished subspaces of L<sub>p</sub>of maximal dimension
Distinguished subspaces of L<sub>p</sub>of maximal dimension
Let $(\varOmega ,\varSigma ,\mu )$ be a measure space and $1< p < \infty $. We show that, under quite general conditions, the set $L_{p}(\varOmega ) - \bigcup _{1 \leq q < p}L_{q}(\varOmega )$ is maximal spaceable, that is, it contains (except for the n