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The present work is concerned with the uniqueness problem of best simultaneous approximation. An style=""text-decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TY9-4NYSXH0-1&_mathId=mml1&_user=1067359&_cdi=5613&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=ce1647b858eb3ba65b996838023e9e8a"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">n-dimensional style=""text-decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TY9-4NYSXH0-1&_mathId=mml2&_user=1067359&_cdi=5613&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=d673ece576e610f3481964b7ee7bbbf0"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">l<sub>1sub>- or style=""text-decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TY9-4NYSXH0-1&_mathId=mml3&_user=1067359&_cdi=5613&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=b35c0f5855f34870fde130cfa2f5838d"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">l<sub>sub>-simultaneous unicity space is characterized in terms of Property A.

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