1. CJM 2007 (vol 59 pp. 63)
||Some Results on the Schroeder--Bernstein Property for Separable Banach Spaces |
We construct a continuum of mutually
separable Banach spaces which are complemented in each other.
Consequently, the Schroeder--Bernstein Index of any of these spaces is
construction is based on a Banach space introduced by W. T. Gowers
B. Maurey in 1997.
We also use classical descriptive set theory methods, as in some
work of the first author and C. Rosendal, to improve some results
of P. G. Casazza and
of N. J. Kalton on the
Schroeder--Bernstein Property for
spaces with an unconditional finite-dimensional Schauder
Keywords:complemented subspaces,, Schroeder-Bernstein property