Title of article :
On separable Banach subspaces
Author/Authors :
Longyun Ding ، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
Abstract :
We show that any infinite-dimensional Banach (or more generally, Fréchet) space contains linear subspaces of arbitrarily high
Borel complexity which admit separable complete norms giving rise to the inherited Borel structure.
© 2007 Elsevier Inc. All rights reserved
Keywords :
Polish group , Polishable subgroup , Fréchet space , Separable Banach subspace , Borel structure
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications