PreprintCC BY 4.0arXiv
A functional model for hyponormal contractions
Abstract
In this paper, we establish an analytical model for a class of hyponormal contractions T satisfying Ran[T*,T] β πT*ominus πT, where πT* and πT are the associated defect spaces for T. We also show that, under a certain condition, a contraction T with πT β πT* is hyponormal.
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BibTeX
@misc{maji2026functional,
title = {{A functional model for hyponormal contractions}},
author = {Amit Maji and Sachin Paramanik},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35880},
eprint = {2610.35880},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35880},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A functional model for hyponormal contractions
AU - Amit Maji
AU - Sachin Paramanik
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.35880
UR - https://arxiv.org/abs/2610.35880
AB - In this paper, we establish an analytical model for a class of hyponormal contractions T satisfying Ran[T^*,T] β π_T^*ominus π_T, where π_T^* and π_T are the associated defect spaces for T. We also show that, under a certain condition, a contraction T with π_T β π_T^* is hyponormal.
ER -