AN EXTREMELY NON-HOMOGENEOUS WEAK HILBERT SPACE

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

来源：Transactions of the American Mathematical Society, 2012, 364(9): 4987-5014.

DOI：10.1090/S0002-9947-2012-05592-9

• Weak Hilbert spaces

We construct a weak Hilbert Banach space such that for every block subspace Y every bounded linear operator on Y is of the form D + S, where S is a strictly singular operator and D is a diagonal operator. We show that this yields a weak Hilbert space whose block subspaces are not isomorphic to any of their proper subspaces.

• 出版日期2012-9