Strictly singular non-compact operators on hereditarily indecomposable Banach spaces

Gasparis, I.

doi:10.1090/S0002-9939-02-06657-1

Strictly singular non-compact operators on hereditarily indecomposable Banach spaces
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by I. Gasparis

Proc. Amer. Math. Soc. 131 (2003), 1181-1189

DOI: https://doi.org/10.1090/S0002-9939-02-06657-1

Published electronically: July 26, 2002

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Abstract:

An example is given of a strictly singular non-compact operator on a Hereditarily Indecomposable, reflexive, asymptotic $\ell _1$ Banach space. The construction of this operator relies on the existence of transfinite $c_0$-spreading models in the dual of the space.

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Proceedings of the American Mathematical Society

Strictly singular non-compact operators on hereditarily indecomposable Banach spaces
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Abstract: