PreprintCC BY 4.0arXiv
Normalized Orbit Frames and Essential Spectrum
Abstract
We characterize the essential spectra of normal operators admitting normalized orbit frames. These are exactly closed subsets of the unit circle with positive Haar measure.
Related
- Normalized Orbit Frames and Essential Spectrum, II
- Carleson Interpolation, Boundary Rigidity, and Classification of Spectral Transformations Preserving Diagonal Operator Orbit Frames
- Taylor-type joint spectrum and essential spectrum of row-bounded sequences of commuting operators
- Linear Equivalence of Full Weight Spectrum Cyclic Orbit Codes
- Learning-Based Spectrum Cartography in Low Earth Orbit Satellite Networks: A Survey
BibTeX
@misc{tian2026normalized,
title = {{Normalized Orbit Frames and Essential Spectrum}},
author = {James Tian},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23804},
eprint = {2609.23804},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23804},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Normalized Orbit Frames and Essential Spectrum
AU - James Tian
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.23804
UR - https://arxiv.org/abs/2609.23804
AB - We characterize the essential spectra of normal operators admitting normalized orbit frames. These are exactly closed subsets of the unit circle with positive Haar measure.
ER -