| Autor: |
Kubrusly, C. S., Duggal, B. P. |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Advances in Mathematical Sciences and Applications, Vol. 29, no. 1, pp. 145-170, Oct. 2020 |
| Druh dokumentu: |
Working Paper |
| Popis: |
Every new inner product in a Hilbert space is obtained from the original one by means of a unique positive operator$.$ The first part of the paper is a survey on applications of such a technique, including a characterization of similarity to isometries$.$ The second part focuses on Banach limits for dealing with power bounded operators. It is shown that if a power bounded operator for which the sequence of shifted Ces\`aro means converges (at least in the weak topology) uniformly in the shift parameter, then it has a Ces\`aro asymptotic limit coinciding with its $\varphi$-asymptotic limit for all Banach limits $\varphi$. |
| Databáze: |
arXiv |
| Externí odkaz: |
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