2025/07/09 by Sophiya S. Dharan, T. Prasad, Dharan, Sophiya S +5
Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2507.06511
openalex publication_date 2025/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we characterize \(k\)-quasi \(n\)-power posinormal composition operators and weighted composition operators on the Hilbert space \(L2(Σ)\). For Lambert conditional operators (of the form \(T = Mw E Mu\)), 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.