𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Commutator Inequalities for the Hilbert–Schmidt Norm

✍ Scribed by Omar Hirzallah; Fuad Kittaneh

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
71 KB
Volume
268
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

Two types of commutator inequalities for the Hilbert-Schmidt norm are established. The first type of these inequalities is related to a classical inequality of Clarkson, and the second type is related to the unitary approximation of positive and invertible operators.  2002 Elsevier Science (USA)

📜 SIMILAR VOLUMES

Matrix Young inequalities for the Hilber
Matrix Young inequalities for the Hilbert–Schmidt norm
✍ Omar Hirzallah; Fuad Kittaneh 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 73 KB

Let A, B, and X be n × n complex matrices such that A and B are positive semidefinite. 2 , where r = max(p, q) and • 2 is the Hilbert-Schmidt norm. Generalizations and applications of this inequality are also considered.

The norm inequalities for the weighted C
The norm inequalities for the weighted Cesaro mean operators
✍ Jichang Kuang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 249 KB

This paper gives some necessary and sufficient conditions for the weighted Cesaro mean operators to be bounded on Herz spaces.