التفاصيل البيبلوغرافية
| العنوان: |
New lower bound for numerical radius for off-diagonal 2 × 2 matrices. |
| المؤلفون: |
Moosavi, B., Hosseini, M. Shah |
| المصدر: |
Journal of Linear & Topological Algebra; Winter2024, Vol. 13 Issue 1, p13-18, 6p |
| مصطلحات موضوعية: |
HILBERT space, LINEAR operators |
| مستخلص: |
New norm and numerical radius inequalities for operators on Hilbert space are given. Among other inequalities, we prove that if A, B ∈ B(H), then ∥A∥ − 3∥A − B*∥ 2 ⩽ ω ([ 0 A B 0 ]) . Moreover, ω(AB) ⩽ 3/2 ∥Im(A)∥∥B∥ + DB ω(A). In particular, if A is self-adjointable, then ω(AB) ⩽ DB∥A∥, where DB = inf λ∈C ∥B − λI∥. [ABSTRACT FROM AUTHOR] |
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