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Interpolation and extrapolation of strictly singular operators between L-p spaces

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Hernández, Francisco L. and Semenov, E. M. and Tradacete, P. (2017) Interpolation and extrapolation of strictly singular operators between L-p spaces. Advances in Mathematics, 316 . pp. 667-690. ISSN 0001-8708

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Official URL: http://www.sciencedirect.com/science/article/pii/S0001870816317716


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Abstract

We study the interpolation and extrapolation properties of strictly singular operators between different Lp spaces. To this end, the structure of strictly singular non-compact operators between L-p Lq spaces is analyzed. Among other things, we clarify the relation between strict singularity and the L-characteristic set of an operator. In particular, Krasnoselskii's interpolation theorem for compact operators is extended to the class of strictly singular operators. (C) 2017 Elsevier Inc.


Item Type:Article
Uncontrolled Keywords:Interpolation; Strictly singular operator; L-p spaces; L-characteristic set
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:44793
Deposited On:28 Sep 2017 08:08
Last Modified:28 Sep 2017 10:29

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