A proof of the theorem of amir and lindenstrauss
We give a very short proof of the theorem concerning long strings of projections mentioned in the title. The nature of the proof is such that, for example, a result of Gul’ko follows easily.
KeywordsBanach Space Compact Subset Closed Subspace Weak Topology Hausdorff Space
Unable to display preview. Download preview PDF.
- [B]N. Bourbaki,Topologie général. Actualités Sci. Ind., Paris, 1942–1949.Google Scholar
- [M]S. Mercourakis,On weakly countably determined Banach spaces, Trans. Am. Math. Soc., to appear.Google Scholar
- [Ne]S. Negrepontis,Banach spaces and topology, inHandbook of Set Theoretic Topology, North-Holland, Amsterdam, 1984.Google Scholar
- [P]R. Pol,On Pointwise and Weak Topology in Function Spaces, University of Warsaw, 1984.Google Scholar
© Hebrew University 1989