Signed Spectral Measures and Minimal Monotone Envelopes for Linear Dissipative Observables
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| Formato: | Recurso digital |
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2026
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| _version_ | 1866901112592793600 |
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| author | Swarup |
| author_facet | Swarup |
| contents | <p>Linear observables evolving under dissipative dynamics are shown<br>to admit a representation as Laplace transforms of signed spectral measures. Monotonicity is characterized by positivity of the measure. A<br>minimal monotone envelope is constructed via total variation, yielding<br>the smallest monotone function dominating the observable. A second<br>monotone functional is introduced to quantify spectral cancellation.<br>These results provide a unified structural description of monotonicity,<br>oscillation, and decay for linear observables under self-adjoint dissipative generators</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19269208 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Signed Spectral Measures and Minimal Monotone Envelopes for Linear Dissipative Observables Swarup <p>Linear observables evolving under dissipative dynamics are shown<br>to admit a representation as Laplace transforms of signed spectral measures. Monotonicity is characterized by positivity of the measure. A<br>minimal monotone envelope is constructed via total variation, yielding<br>the smallest monotone function dominating the observable. A second<br>monotone functional is introduced to quantify spectral cancellation.<br>These results provide a unified structural description of monotonicity,<br>oscillation, and decay for linear observables under self-adjoint dissipative generators</p> |
| title | Signed Spectral Measures and Minimal Monotone Envelopes for Linear Dissipative Observables |
| url | https://doi.org/10.5281/zenodo.19269208 |