We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
IMPROVEMENTS OF A--NUMERICAL RADIUS FOR SEMI-HILBERTIAN SPACE OPERATORS.
- Authors
HONGWEI QIAO; GUOJUN HAI; ALATANCANG CHEN
- Abstract
Let A be a bounded positive operator on a complex Hilbert space ... . The semi-product ..., induces a semi-norm ... on H. Let ωA (T) amd ... denote the A-numerical radius and the A-operator semi-norm of an operator T in semi-Hilbertian space ..., respectively. In this paper, some new bounds for the A-numerical radius of operators in semi-inner product space induced by A are derived. In particular, for ... and α ≥ 0, we prove that ... and ... . It is worth noting that our results improve the existing A-numerical radius inequalities. Further, we also give a refinement inequality of A-operator semi-norm triangle inequality.
- Subjects
NORMAL operators; LINEAR algebra; MATHEMATICAL inequalities; MATHEMATICAL formulas; INTEGRALS
- Publication
Journal of Mathematical Inequalities, 2024, Vol 18, Issue 2, p791
- ISSN
1846-579X
- Publication type
Article
- DOI
10.7153/jmi-2024-18-43