id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4800	Jawdat, Jamila	Strong Coproximinality in Bochner $L^p$-Spaces and in Köthe Spaces	2023	9	.pdf	application/pdf	3567	242	80	Math, 16 (3) (2023), 1543-1551 1547 Hence, for any y ∈ G, we have ||g(t)− y|| = ||g(t)− h(t) + h(t)− y|| ≤ ||g(t)− h(t)||+ ||h(t)− y|| < ||f(t)− y||+ δ′/µ(T ), ∀y ∈ G, a.e. t ∈ T. Finally, taking δ = δ′/µ(T ), we get, g(t) ∈ RG(f(t), δ), for a.e. t ∈ T. Remark 1. ||f(t)− h(t)||+ δ, ∀h ∈ L1(µ,G), a.e. t ∈ T. Hence, we get∫ T ||g(t)− h(t)||dt < ∫ T ||f(t)− h(t)||dt+ δ · µ(T ), ∀h ∈ L1(µ,G).	cache/ejpam-4800.pdf	txt/ejpam-4800.txt