A Ritt-Kreiss condition: spectral localization and norm estimates
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914761953771520 |
|---|---|
| author | Mahillo, Alejandro Rueda, Silvia |
| author_facet | Mahillo, Alejandro Rueda, Silvia |
| contents | A new condition is introduced by generalizing the Ritt and Kreiss operators named $(α, β)$-RK condition. Geometrical properties of the spectrum for the case $β< 1$ are studied, moreover it is shown that in that case if $α+ β= 1$ the operator is Ritt. Estimates for the power and power differences norms for this type of operators are also studied. Lastly we apply this theory to obtain and interpolation result over Ritt and Kreiss operator on $L^p$ spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12946 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Ritt-Kreiss condition: spectral localization and norm estimates Mahillo, Alejandro Rueda, Silvia Functional Analysis Spectral Theory 47A10, 47A35, 47D03 A new condition is introduced by generalizing the Ritt and Kreiss operators named $(α, β)$-RK condition. Geometrical properties of the spectrum for the case $β< 1$ are studied, moreover it is shown that in that case if $α+ β= 1$ the operator is Ritt. Estimates for the power and power differences norms for this type of operators are also studied. Lastly we apply this theory to obtain and interpolation result over Ritt and Kreiss operator on $L^p$ spaces. |
| title | A Ritt-Kreiss condition: spectral localization and norm estimates |
| topic | Functional Analysis Spectral Theory 47A10, 47A35, 47D03 |
| url | https://arxiv.org/abs/2404.12946 |