Total subspaces with long chains of nowhere norming weak*-sequential closures
Abstract
If a separable Banach space X is such that for some nonquasireflexive Banach space Y there exists a surjective stricty singular operator
then for every countable ordinal
the dual of X contains a subspace whose weak* sequential closures of orders less than
are nowhere norming and whose weak* sequential closure of order
coincides with
.
![T : X 'to Y](http://siba-ese.unile.it/plugins/generic/latexRender/cache/801ed5b4105db0d853748f247fd93879.png)
!['alpha](http://siba-ese.unile.it/plugins/generic/latexRender/cache/d37646aca6eda5eee40b10a6862b4fe9.png)
!['alpha](http://siba-ese.unile.it/plugins/generic/latexRender/cache/d37646aca6eda5eee40b10a6862b4fe9.png)
!['alpha+1](http://siba-ese.unile.it/plugins/generic/latexRender/cache/b19fb1f73fa0d94344456d9bc9a9ec96.png)
![X<sup>*</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/cfc351e44e934b3c813fe42204496e40.png)
DOI Code:
10.1285/i15900932v13n2p217
Full Text: PDF