2 citations · 2 across the 3 of their papers we have counts for
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A new method for constructing invariant subspaces
George Androulakis
The method of compatible sequences is introduced in order to produce non-trivial (closed) invariant subspaces of (bounded linear) operators. Also a topological tool is used which i…
Embedding into the space of all Operators on Certain Banach Spaces
G. Androulakis, K. Beanland, S. J. Dilworth +1
We give sufficient conditions on a Banach space which ensure that embeds in , the space of all operators on . We say that a basic sequence $(…
On the structure of the spreading models of a Banach space
G. Androulakis, E. Odell, Th. Schlumprecht +1
We study some questions concerning the structure of the set of spreading models of a separable infinite-dimensional Banach space . In particular we give an example of a reflexiv…
A note on the method of minimal vectors
George Androulakis
The methods of "minimal vectors" were introduced by Ansari and Enflo and strengthened by Pearcy, in order to prove the existence of hyperinvariant subspaces for certain operators o…
A property of strictly singular 1-1 operators
George Androulakis, Per Enflo
We prove that if T is a strictly singular 1-1 operator defined on an infinite dimensional Banach space X, then for every infinite dimensional subspace Y of X there exists an infini…
The Banach space S is complementably minimal and subsequentially prime
George Androulakis, Thomas Schlumprecht
We first include a result of the second author showing that the Banach space S is complementably minimal. We then show that every block sequence of the unit vector basis of S has a…