The ideal of Lipschitz classical p-compact operators and its injective hull

Abstract

We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space. As an application we extend some characterizations of the injective hull of the strongly Lipschitz classical p-compact from the linear case to the Lipschitz case. Also, we introduce the ideal of Lipschitz unconditionally quasi p-nuclear operators between pointed metric spaces and show that it coincides with the Lipschitz injective hull of the ideal of Lipschitz classical p-compact operators.

Keywords

• classical p-compact operator
• lipschitz classical p-compact operator
• lipschitz operator ideal
• lipschitz injective hull
• lipschitz unconditionally quasi p-nuclear operator
• 47l20
• 47h99
• 47b10
• 26a16
• 46a45