12 citations · 12 across the 2 of their papers we have counts for
5 papers
Operators on (C[0,1]) preserving copies of asymptotic (\ell_1) spaces
Ioannis Gasparis
It is shown that every operator on (C[0,1]) which preserves a copy of an asymptotic (\ell_1) space, also preserves a copy of (C[0,1]).
Weakly null sequences in the Banach space C(K)
I. Gasparis, E. Odell, B. Wahl
The hierarchy of the block bases of transfinite normalized averages of a normalized Schauder basic sequence is introduced and a criterion is given for a normalized weakly null sequ…
On contractively complemented subspaces of separable L_1-preduals
Ioannis Gasparis
Let X be an L_1-predual space and let K be a countable linearly independent subset of the extreme points of its closed dual ball. It is shown that if the norm-closed linear span Y…
A continuum of totally incomparable hereditarily indecomposable Banach spaces
Ioannis Gasparis
A family is constructed of cardinality equal to the continuum, whose members are totally incomparable, reflexive, hereditarily indecomposable Banach spaces.
On the complemented subspaces of the Schreier spaces
I. Gasparis, D. H. Leung
It is shown that the Schreier space X admits a set of continuum cardinality whose elements are mutually incomparable complemented subspaces spanned by subsequences of the natural S…