On the Orlicz function estimations of the a-Davis--Wielandt radius in C^*-algebra

@misc{bhattacharya2026orlicz,
  title = {{On the Orlicz function estimations of the $a$-Davis--Wielandt radius in $C^*$-algebra}},
  author = {Debarati Bhattacharya and Fuad Kittaneh and Arnab Patra},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16652},
  eprint = {2609.16652},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16652},
}

TY  - UNPB
TI  - On the Orlicz function estimations of the a-Davis--Wielandt radius in C^*-algebra
AU  - Debarati Bhattacharya
AU  - Fuad Kittaneh
AU  - Arnab Patra
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.16652
UR  - https://arxiv.org/abs/2609.16652
AB  - We present a systematic study of a-Davis--Wielandt radius estimates for elements in a unital C^*-algebra through an Orlicz function approach. We derive novel bounds for the algebraic a-Davis--Wielandt radius and further obtain estimates for the classical algebraic Davis--Wielandt radius via polar decomposition and the Moore--Penrose inverse. The results obtained in this work extend, generalize, and unify a variety of established inequalities in the literature as special cases.
ER  -