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Weighted means and weighted mean equations in lineated symmetric spaces
Author(s)
Date Issued
January 1, 2018
Type
Article
Abstract
We develop further theory of weighted means in a lineated symmetric space. First, we illustrate fundamental examples of that space involving some classical additive/multiplicative groups of matrices and C∗-algebra elements. Then we investigate properties of weighted means in which weights are arbitrary real numbers. Moreover, we investigate several (systems of) weighted mean equations in lineated symmetric spaces. In fact, every mean problem considered here is shown to has a unique solution in an explicit form.
Citation
Quasigroups and Related Systems, 26(2), 197-210, 2018