On ℒ<sub><i>p,λ</i></sub>spaces for small<i>λ</i>
On ℒ<sub><i>p,λ</i></sub>spaces for small<i>λ</i>
It is shown for 1 < p Φ 2 < oo that for each & p λ subspace X of L p [0,1] with λ sufficiently close to 1 there is a nonlinear projection from L p onto X which factors through a linear projection on LJO,!] with norm close …