$k$-quasi $n$-power posinormal Weighted Composition and Cauchy Dual of Moore-Penrose inverse of Lambert Operators
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911046980075520 |
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| author | Dharan, Sophiya S Prasad, T. Ramya, P. Rashid, M. H. M. |
| author_facet | Dharan, Sophiya S Prasad, T. Ramya, P. Rashid, M. H. M. |
| contents | In this paper we characterize \(k\)-quasi \(n\)-power posinormal composition operators and weighted composition operators on the Hilbert space \(L^2(Σ)\). For Lambert conditional operators (of the form \(T = M_w E M_u\)), we establish necessary and sufficient conditions under which these Cauchy duals via the Moore-Penrose inverse become \(k\)-quasi \(n\)-power posinormal operators. Finally, we construct an explicit example of a \(k\)-quasi \(n\)-power posinormal weighted shift operator on a rooted directed tree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06511 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $k$-quasi $n$-power posinormal Weighted Composition and Cauchy Dual of Moore-Penrose inverse of Lambert Operators Dharan, Sophiya S Prasad, T. Ramya, P. Rashid, M. H. M. Functional Analysis In this paper we characterize \(k\)-quasi \(n\)-power posinormal composition operators and weighted composition operators on the Hilbert space \(L^2(Σ)\). For Lambert conditional operators (of the form \(T = M_w E M_u\)), we establish necessary and sufficient conditions under which these Cauchy duals via the Moore-Penrose inverse become \(k\)-quasi \(n\)-power posinormal operators. Finally, we construct an explicit example of a \(k\)-quasi \(n\)-power posinormal weighted shift operator on a rooted directed tree. |
| title | $k$-quasi $n$-power posinormal Weighted Composition and Cauchy Dual of Moore-Penrose inverse of Lambert Operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2507.06511 |