On almost everywhere divergence of Bochner–Riesz means on compact Lie groups

Almost Everywhere Convergence of Cone-like Restricted Double Fejér Means on Compact Totally Disconnected Groups

In the present paper we prove the a.e. convergence of Fejér means of integrable functions with respect to the two-dimensional representative product systems on a bounded compact totally disconnected group provided that the set of indices is in a cone-like set.

Almost commuting elements in compact Lie groups

Probability on Compact Lie Groups

Almost-Riemannian Geometry on Lie Groups

A simple Almost-Riemannian Structure on a Lie group G is defined by a linear vector field (that is an infinitesimal automorphism) and dim(G) − 1 left-invariant ones. We state results about the singular locus, the abnormal extremals and the desingularization of such ARS’s, and these results are illustrated by examples on the 2D affine and the Heisenberg groups. These ARS’s are extended in two wa...

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.