most citedStrictly singular non-compact diagonal operators on HI spaces

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math.FA2009

Hereditarily Indecomposable Banach algebras of diagonal operators

Spiros A. Argyros, Irene Deliyanni, Andreas G. Tolias

We provide a characterization of the Banach spaces with a Schauder basis which have the property that the dual space is naturally isomorphic to t…

math.FA2008★ 2 cited

Strictly singular non-compact diagonal operators on HI spaces

Spiros A. Argyros, Irene Deliyanni, Andreas G. Tolias

We construct a Hereditarily Indecomposable Banach space $\eqs_d$ with a Schauder basis \seq{e}{n} on which there exist strictly singular non-compact diagonal operators. Moreover, t…