An interplay between the weak form of Peano's theorem and structural aspects of Banach spaces

Cleon S. Barroso, Michel P. Rebouças, Marcus A. M. Marrocos

In this paper we establish some new results concerning the Cauchy-Peano problem in Banach spaces. Firstly, we prove that if a Banach space $E$ admits a fundamental biorthogonal sys…