Resumen de Homogeneous Banach spaces on the unit circle

Thomas Vils Pedersen

• We prove that a homogeneous Banach space ${\mathcal B}$ on the unit circle ${\mathbb T}$ can be embedded as a closed subspace of a dual space $\Xi_{{\mathcal B}}^{\ast}$ contained in the space of bounded Borel measures on ${\mathbb T}$ in such a way that the map ${\mathcal B}\mapsto\Xi_{{\mathcal B}}^{\ast}$ defines a bijective correspondence between the class of homogeneous Banach spaces on ${\mathbb T}$ and the class of prehomogeneous Banach spaces on ${\mathbb T}$.

  We apply our results to show that the