Lipschitz p-compact mappings
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We introduce the notion of Lipschitz p-compact operators. We show that they can be seen as a natural extension of the linear p-compact operators of Sinha and Karn and we transfer some properties of the linear case into the Lipschitz setting. Also, we introduce the notions of Lipschitz-free p-compact operators and Lipschitz locally p-compact operators. We compare all these three notions and show different properties. Finally, we exhibit examples to show that these three notions are different.
KeywordsLipschitz operators Lipschitz p-compact operators Lipschitz-free p-compact mappings Locally p-compact mappings
Mathematics Subject ClassificationPrimary 47B07 47B10 Secondary 26A16 47L20
The authors want to thank the referee for his/her careful reading and useful suggestions. P. Turco was supported in part by CONICET PIP 0483, ANPCyT PICT-2015-2299 and UBACyT 1-474.
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