On regularity of compressions and diagonals of operator functions
Functional Analysis
2025-12-18 v1
Abstract
Replacing operators with continuous operator-valued functions, we prove time-dependent versions of well-known results on compressions and diagonals of bounded operators. The setting of smooth functions is also addressed. Our results have no analogues in the literature and rely on a new technique. The results are especially transparent for selfadjoint operators.
Cite
@article{arxiv.2512.15467,
title = {On regularity of compressions and diagonals of operator functions},
author = {Vladimir Müller and Yuri Tomilov},
journal= {arXiv preprint arXiv:2512.15467},
year = {2025}
}
Comments
This is a version of the paper to appear in Journal of the London Mathematical Society