Commutativity of set-valued cosine families
Andrzej Smajdor ; Wilhelmina Smajdor
Open Mathematics, Tome 12 (2014), p. 1871-1881 / Harvested from The Polish Digital Mathematics Library
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Let K be a closed convex cone with nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. If F t: t ≥ 0 is a regular cosine family of continuous additive set-valued functions F t: K → cc(K) such that x ∈ F t(x) for t ≥ 0 and x ∈ K, then Ft∘Fs(x)=Fs∘Ft(x)fors,t⩾0andx∈K.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:269624 
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     title = {Commutativity of set-valued cosine families},
     journal = {Open Mathematics},
     volume = {12},
     year = {2014},
     pages = {1871-1881},
     zbl = {1309.47048},
     language = {en},
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Andrzej Smajdor; Wilhelmina Smajdor. Commutativity of set-valued cosine families. Open Mathematics, Tome 12 (2014) pp. 1871-1881. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0433-y/

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