On regularity of compressions and diagonals of operator functions
Abstract
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 self‐adjoint operators.
Fields of Study & Subjects
Holomorphic and Operator Theory
Advanced Banach Space Theory
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 2
- Publication date
- 1 February 2026
- Language
- EN