Resumen de Compacidad sucesional en G(H) y P(H)

María Carmen de las Obras Loscertales y Nasarre

• Given a real seperable Hilbert space H, we denote with G(H) the geometry of closed linear subspaces of H and P(H) the proyective space on H.

  G(H) is shown to be strongly and b (4) sequentialy compact but not weakly compact. A characterization of the last case is also given.

  The exclusion of the null subspace as the limit of a sequence of subspaces is found and, consequently, the different types of sequential compacity in P(H) are characterized.