Spectral distances on RCD spaces
arXiv:2303.11136
Abstract
We provide relationships between the spectral convergences in Bérard-Besson-Gallot sense, in Kasue-Kumura sense and the measured Gromov-Hausdorff convergence, for compact finite dimensional RCD spaces. As an independent interest, a canonical (spectral) approximation map between such spaces constructed by given spectral data is obtained.
To appear in Mathematische Zeitschrift. 26 pages