Compact Perturbations of a Multiple of the Identity
نویسنده
چکیده
Abstract. We give sufficient conditions on an asymptotic lp (for 1 < p < ∞) Banach space which ensure the space admits an operator which is not a compact perturbation of a multiple of the identity. These conditions imply the existence of strictly singular noncompact operators on the HI spaces constructed by G. Androulakis and the author and by I. Deliyanni and A. Manoussakis. Additionally we show that under these same conditions on the space X , l∞ embeds isomorphically into the space of bounded linear operators on X .
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