We study algebraic and topological properties of the group of all surjective isometries on several spaces of vector valued analytic functions and vector valued $L^p$ spaces ($1 \leq p \leq \infty$). We also derive the form for the surjective linear isometries on the vector valued little Zygmund space.
Banach J. Math. Anal.
9(4):
221-233
(2015).
DOI: 10.15352/bjma/09-4-11