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math.FA2003★ 16 cited
Strictly semi-transitive operator algebras
H. P. Rosenthal, V. G. Troitsky
An algebra A of operators on a Banach space X is called strictly semi-transitive if for all non-zero x,y in X there exists an operator S in A such that Sx=y or Sy=x. We show that i…
math.FA2003
Minimal vectors in arbitrary Banach spaces
Vladimir G. Troitsky
We extend the method of minimal vectors to arbitrary Banach spaces. It is proved, by a variant of the method, that certain quasinilpotent operators on arbitrary Banach spaces have…