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Restricted p-Centers for Sets in Real Locally Convex Spaces
Abstract:ABSTRACT

Let p be a continuous seminorm on a real locally convex space X. The current paper is concerned with the problem of restricted p-centers in X. Characterizations of restricted p-centers and strongly unique restricted p-centers with respect to a “sun” are provided, and then some recent results due to Laurent and Pai 9 P. J. Laurent and D. Pai ( 1998 ). On simultaneous approximation . Numer. Funct. Anal. Optim. 19 : 10451064 .Taylor & Francis Online], Web of Science ®] Google Scholar]] are extended and improved.
Keywords:Locally convex spaces  Restricted p-centers  RS-sets  Suns
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