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PreprintCC BY 4.0arXiv

On weighted Schatten p-numerical radii via generalized Aluthge transformation

  • Kallal Pal
  • Sumit Chandok
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Abstract

In this article, we derive various weighted p-numerical radius inequalities using the Schatten p-norm with the generalized Aluthge transform for operators in Hilbert spaces. In addition, the article explores classical numerical radius and norm inequalities for operators. The bounds obtained in this work improve upon several well-known previous results. In addition, we provide examples where we calculate and analyze upper bounds for the weighted numerical radius of different types of matrices using generalized Aluthge transformation.

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Cite

BibTeXRIS
BibTeX
@misc{pal2026weighted,
  title = {{On weighted Schatten p-numerical radii via generalized Aluthge transformation}},
  author = {Kallal Pal and Sumit Chandok},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.11336},
  eprint = {2610.11336},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.11336},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On weighted Schatten p-numerical radii via generalized Aluthge transformation
AU  - Kallal Pal
AU  - Sumit Chandok
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.11336
UR  - https://arxiv.org/abs/2610.11336
AB  - In this article, we derive various weighted p-numerical radius inequalities using the Schatten p-norm with the generalized Aluthge transform for operators in Hilbert spaces. In addition, the article explores classical numerical radius and norm inequalities for operators. The bounds obtained in this work improve upon several well-known previous results. In addition, we provide examples where we calculate and analyze upper bounds for the weighted numerical radius of different types of matrices using generalized Aluthge transformation.
ER  -