Year: 2025
Type: article
Abstract: New norm inequalities for commutators of Hilbert space operators are given.Among other inequalities, it is shown that if π΄, π΅ P BpHq and there exists a real number π§ 0 , such that }π΄ Β΄π§0 πΌ} " π· π΄ , then }π΄π΅ Λπ΅π΄ Λ} 2π· π΄ }π΅}, where π· π΄ " inf πPC }π΄ Β΄ππΌ}.In particular, under some conditions, we prove that }π΄π΅} π· π΄ }π΅}, which is an improvement of submultiplicative norm inequality.Also, we prove several numerical radius inequalities for products of two Hilbert space operators.
Source: Problemy analiza
Authors: B. Moosavi, M. Shah Hosseini
Institution: Islamic Azad University, Tehran
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408006233