An improvement of the Blanco-Koldobsky-Turnšek characterization of isometries
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912728924291072 |
|---|---|
| author | Manna, Jayanta Mandal, Kalidas Paul, Kallol Sain, Debmalya |
| author_facet | Manna, Jayanta Mandal, Kalidas Paul, Kallol Sain, Debmalya |
| contents | We present an improvement of the Blanco-Koldobsky-Turnšek characterization of isometries in normed linear spaces by using the concept of level vectors of an operator. In this context, we characterize level vectors entirely through directional preservation of Birkhoff-James orthogonality and analyze the associated geometric and structural phenomena that they induce. Furthermore, in spaces whose unit balls possess the \textit{Krein-Milman property}, we derive an additional refinement of the Blanco-Koldobsky-Turnšek characterization of isometries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20345 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An improvement of the Blanco-Koldobsky-Turnšek characterization of isometries Manna, Jayanta Mandal, Kalidas Paul, Kallol Sain, Debmalya Functional Analysis 46B20, 46B04 We present an improvement of the Blanco-Koldobsky-Turnšek characterization of isometries in normed linear spaces by using the concept of level vectors of an operator. In this context, we characterize level vectors entirely through directional preservation of Birkhoff-James orthogonality and analyze the associated geometric and structural phenomena that they induce. Furthermore, in spaces whose unit balls possess the \textit{Krein-Milman property}, we derive an additional refinement of the Blanco-Koldobsky-Turnšek characterization of isometries. |
| title | An improvement of the Blanco-Koldobsky-Turnšek characterization of isometries |
| topic | Functional Analysis 46B20, 46B04 |
| url | https://arxiv.org/abs/2511.20345 |