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arXiv · 2212.00441

Enveloping norms on the spaces of regularly P-operators in Banach lattices

Safak Alpay·Eduard Emelyanov·Svetlana Gorokhova
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Abstract

We introduce and study the enveloping norms of regularly P-operators between Banach lattices E and F, where P is a subspace of the space L(E,F) of continuous operators from E to F. We prove that if P is closed in L(E,F) in the operator norm then the regularly P-operators forms a Banach space under the enveloping norm. Conditions providing that regularly P-operators forms a Banach lattice under the enveloping norm are given.

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Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova. 2022-12-01. Enveloping norms on the spaces of regularly P-operators in Banach lattices. https://arxiv.org/abs/2212.00441

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