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

Autores: María Carmen de las Obras Loscertales y Nasarre
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 31, Fasc. 2, 1980, págs. 97-101
Idioma: español
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Resumen
- 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.