Diagonalizing ''compact'' operators on Hilbert W*-modules
funct-an
2025-05-08 v2 Operator Algebras
Abstract
For W*-algebras A and self-dual Hilbert A-modules M we show that every self-adjoint, ''compact'' module operator on M is diagonalizable. Some specific properties of the eigenvalues and of the eigenvectors are described.
Cite
@article{arxiv.funct-an/9411008,
title = {Diagonalizing ''compact'' operators on Hilbert W*-modules},
author = {Michael Frank and Vladimir M. Manuilov},
journal= {arXiv preprint arXiv:funct-an/9411008},
year = {2025}
}
Comments
9 pages, plain TEX, no figures