Year: 2026
Type: preprint
Abstract: In this paper, we establish an analytical model for a class of hyponormal contractions $T$ satisfying $Ran[T^*,T] \subseteq \mathcal D_{T^*}\ominus \mathcal D_T$, where $\mathcal D_{T^*}$ and $\mathcal D_T$ are the associated defect spaces for $T$. We also show that, under a certain condition, a contraction $T$ with $\mathcal D_T \subseteq \mathcal D_{T^*}$ is hyponormal.
Source: arXiv (Cornell University)
Authors: Maji, Amit, Paramanik, Sachin
Institution: Indian Institute of Technology Roorkee
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224123259