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\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$${{\\,\ extrm{RCD}\\,}}$$\\end{document} spaces. As an independent interest, a canonical (spectral) approximation map between such spaces constructed by given spectral data is obtained.
Published Version
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