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Title: Continuity of L-p Balls and an Application to Input-Output Systems
Authors: Hüseyin, Anar
Hüseyin, Nesir
Guseinov, Kh G.
Keywords: continuity
Hausdorff distance
set-valued map
input-output system
integrable output
Issue Date: 2022
Publisher: Maik Nauka/Interperiodica/Springer
Abstract: In this paper, the continuity of the set-valued map p -> B-Omega,B- X,(p)(r), p is an element of (1,+infinity), is proved where B-Omega,B- X,(p)(r) is the closed ball of radius r in the space L-p(Omega, Sigma, mu; X) centered at the origin, (Omega, Sigma, mu) is a finite and positive measure space, and X is a separable Banach space. An application to input-output systems described by Urysohn type integral operators is discussed.
ISSN: 0001-4346
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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