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Regular operator mappings and multivariate geometric means
2014
Linear Algebra and its Applications
We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. This setting is convenient for studying maps more general than what can be obtained from the functional calculus, and it allows for Jensen type inequalities and multivariate non-commutative perspectives. As a main application of the theory we consider geometric means of k operator variables extending the geometric mean of k commuting operators and the geometric mean of two
doi:10.1016/j.laa.2014.07.031
fatcat:l4uemci7q5addhwknkmlnhzm6m