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

Autor:	Alpay, Safak, Emelyanov, Eduard, Gorokhova, Svetlana
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis 46B25 46B42 46B50 47B60
Druh dokumentu:	Working Paper
Popis:	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. Comment: arXiv admin note: substantial text overlap with arXiv:2208.02303
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.00441 Zobrazit plný text záznamu View this record from Arxiv