IJPAM: Volume 99, No. 2 (2015)
HILBERT OPERATOR SPACES WITH APPLICATIONS
Department of Mathematical Sciences
Shahrood University of Technology
P.O. Box 3619995161-316, Shahrood, IRAN
Abstract. The purpose of this paper is to Provide conditions for the existence of farthest points of closed and bounded subsets of Hilbert operator spaces. This will done by applying the concept of numerical range. We give, inter alia, some results to characterize farthest points of a subset of a -algebra from a fixed element . Meanwhile, we point out the main theorems of R. Saravanan and R. Vijayaragavan[#!26!#] are incorrect, by given two counterexamples.
Received: November 1, 2014
AMS Subject Classification: 41A50, 41A52, 41A65, 46L05, 47A58
Key Words and Phrases: farthest point, strong farthest point, numerical range, -algebras
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DOI: 10.12732/ijpam.v99i2.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 191 - 200