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math.MG2018★ 2 cited
Ergodic theorem in Hadamard spaces in terms of inductive means
Jorge Antezana, Eduardo Ghiglioni, Demetrio Stojanoff
Let (G,+) be a compact, abelian, and metrizable topological group. In this group we take such that the corresponding automorphism t_g is ergodic. The main result of this p…
math.MG2010
Short paths for symmetric norms in the unitary group
Jorge Antezana, Gabriel Larotonda, Alejandro Varela
For a given symmetrically normed ideal I on an infinite dimensional Hilbert space H, we study the rectifiable distance in the classical Banach-Lie unitary group $$ U_I={u is a unit…