  We study Birkhoff-James orthogonality and its local symmetry in some sequence
spaces namely $\ell_p,$ for $1\leq p\leq\infty$, $p\neq2$, $c$, $c_0$ and
$c_{00}$. Using the characterization of the local symmetry of Birkhoff-James
orthogonality, we characterize isometries of each of these spaces onto itself
and obtain the Banach-Lamperti theorem for onto operators on the sequence
spaces.

Functional Analysis