A weak Hilbert space with few symmetries

作者：Argyros Spiros A^*; Beanland Kevin; Raikoftsalis Theocharis

来源：Comptes Rendus Mathematique, 2010, 348(23-24): 1293-1296.

DOI：10.1016/j.crma.2010.10.032

We construct a separable Banach space with an unconditional basis that is a weak Hilbert space and no block subspace is linearly isomorphic to any of its proper subspaces. We prove that the space Hwt, satisfies these properties by showing it is strongly asymptotic l(2) and that every bounded linear operator on x(wh) is a strictly singular perturbation of a diagonal operator with respect to the unit vector basis.

• 出版日期2010-12