New semi-norm of semi-Hilbertian space operators and its application
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917746943459328 |
|---|---|
| author | Bhunia, Pintu Sen, Anirban Paul, Kallol |
| author_facet | Bhunia, Pintu Sen, Anirban Paul, Kallol |
| contents | In this paper, we introduce a new semi-norm of operators on a semi-Hilbertian space, which generalizes the A-numerical radius and A-operator semi-norm. We study the basic properties of this semi-norm, including upper and lower bounds for it. As an application of this new semi-norm, we obtain upper bounds for the A-numerical radius of semi-Hilbertian space operators, which are sharper than the earlier ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_09431 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | New semi-norm of semi-Hilbertian space operators and its application Bhunia, Pintu Sen, Anirban Paul, Kallol Functional Analysis Primary 47A12, Secondary 47A30, 47A63 In this paper, we introduce a new semi-norm of operators on a semi-Hilbertian space, which generalizes the A-numerical radius and A-operator semi-norm. We study the basic properties of this semi-norm, including upper and lower bounds for it. As an application of this new semi-norm, we obtain upper bounds for the A-numerical radius of semi-Hilbertian space operators, which are sharper than the earlier ones. |
| title | New semi-norm of semi-Hilbertian space operators and its application |
| topic | Functional Analysis Primary 47A12, Secondary 47A30, 47A63 |
| url | https://arxiv.org/abs/2107.09431 |