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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.

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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  -