On a class of m-Isometric and Quasi-m-isometric operators
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| Format: | Preprint |
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2025
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| _version_ | 1866909812806123520 |
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| author | Estaremi, Y. Ghafri, M. S. Al Shamsigamchi, S. |
| author_facet | Estaremi, Y. Ghafri, M. S. Al Shamsigamchi, S. |
| contents | In this paper we characterize $m$-isometric and quasi-$m$-isometric weighted conditional type (WCT) operators on the Hilbert space $L^2(μ)$. Also, we prove that the subclasses of $m$-isometric and quasi-$m$-isometric of normal WCT operators are coincide. Specially we have the results for multiplication operators. Indeed, we find that for $m\geq 2$, a multiplication operator $M_u$ is $m$-isometric (quasi-$m$-isometric) if and only if it is isometric (quasi-isometric). Some examples are provided to illustrate our results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_23239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a class of m-Isometric and Quasi-m-isometric operators Estaremi, Y. Ghafri, M. S. Al Shamsigamchi, S. Functional Analysis In this paper we characterize $m$-isometric and quasi-$m$-isometric weighted conditional type (WCT) operators on the Hilbert space $L^2(μ)$. Also, we prove that the subclasses of $m$-isometric and quasi-$m$-isometric of normal WCT operators are coincide. Specially we have the results for multiplication operators. Indeed, we find that for $m\geq 2$, a multiplication operator $M_u$ is $m$-isometric (quasi-$m$-isometric) if and only if it is isometric (quasi-isometric). Some examples are provided to illustrate our results. |
| title | On a class of m-Isometric and Quasi-m-isometric operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2509.23239 |