Pseudometrics from three-positive semidefinite similarities

• DOI: 10.1016/j.fss.2006.02.009
• Publication Date: 2006-04-05T10:46:34Z
• Authors: M. Santos Tomás; Claudi Alsina; Jaime Rubio-Martinez
• Keywords: Semidefinite Programming; Similarity (geometry)

We prove that when some transformations are applied to three-positive semidefinite similarities we obtain a pseudometric. In addition, we demonstrate that some similarity coefficients usually employed in diversity studies fulfil this condition.