[Author]
 Oleg Reinov

[Title]
 Schur property and differentiability

[AMS Subj-class]
 46G05 Derivatives

[Abstract]
 We discuss and give the proofs of two following results:
 1) A Banach space $X$ possesses the Schur property iff every
    weakly differentiable function from $\Bbb R$ to $X$ 
    is differentiable.
 2) A Banach space $X$ is weakly sequentially complete iff every
    weakly differentiable function from $\Bbb R$ to $X$ has a weak derivative.

[Comments]
 LaTeX, Russian, 7 pp.

[Contact e-mail]
 orein51@mail.ru