An introduction of Berezin sectorial operators and its application to Berezin number inequalities

2026/01/31 by Saikat Mahapatra, Sweta Mukherjee, Anirban Sen +2
Mathematics · #Geometry and complex manifolds #Holomorphic and Operator Theory #Mathematical Inequalities and Applications

paper · doi:10.1016/j.bulsci.2026.103825

openalex publication_date 2026/04/01 · crossref created 2026/04/01 · openalex created_date 2026/04/02 · openalex updated_date 2026/04/10 · crossref deposited 2026/07/28 · crossref indexed 2026/07/28 · crossref issued 2026/08/01 · crossref published 2026/08/01 · crossref published-print 2026/08/01

Citations

• On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces
• Berezin number and Berezin norm inequalities via Moore-Penrose inverse
• Strengthening of spectral radius, numerical radius, and Berezin radius inequalities
• On the Berezin range and the Berezin radius of some operators
• Composition operators, convexity of their Berezin range and related questions
• Numerical radius and Berezin number inequality
• Development of the Berezin number inequalities
• Inequalities involving Berezin norm and Berezin number
• Numerical Range and Quasi-Sectorial Contractions