Lipschitz p-compact mappings

DAHIA, ELHADJ; TURCO, PABLO; ACHOUR, DAHMANE

MONATSHEFETE FUR MATHEMATIK

SPRINGER WIEN

Lugar: Viena; Año: 2019 vol. 189 p. 595 - 609

0026-9255

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.