On the generalized numerical radii of operators

It is shown that if A, B,X, and Y are operators acting on a finite dimensional Hilbert space, then. ωu (AXB∗ ± BYA∗) ≤ 2 ∥A∥ ∥B∥ ωu ([0 X, Y 0]) where ωu (T ), ∥T ∥, are, respectively, the U-numerical radius, the spectral norm, of an operator T .

Authors

Publication Details

Published
2025-01-01
DOI
https://doi.org/10.54216/ijns.260221
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On the generalized numerical radii of operators

Khalid Khalid, Khalid Shebraw, Tasnim Alkharabsheh
Matrix Theory and Algorithms
article

On the generalized numerical radii of operators

Khalid Khalid, Khalid Shebraw, Tasnim Alkharabsheh
article en

Abstract

It is shown that if A, B,X, and Y are operators acting on a finite dimensional Hilbert space, then. ωu (AXB∗ ± BYA∗) ≤ 2 ∥A∥ ∥B∥ ωu ([0 X, Y 0]) where ωu (T ), ∥T ∥, are, respectively, the U-numerical radius, the spectral norm, of an operator T .

Vol. 26(2)
Openalex Percentile: Top 94%
Matrix Theory and Algorithms
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

On the generalized numerical radii of operators — Khalid Khalid, Khalid Shebraw, et al. · (2025) | TGRS Research Map | TGRS