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math.FA2001
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…
math.FA2001
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…
math.FA2001
Strictly singular, non-compact operators exist on the space of Gowers and Maurey
George Androulakis, Thomas Schlumprecht
We construct a strictly singular non-compact operator on Gowers' and Maurey's space .