Selberg and refinement type inequalities on semi-Hilbertian spaces

نویسندگان
Chahbi, Abdellatif ID 1
El-Fassi, Iz-iddine ID 2
Kabbaj, Samir ID 3

1 Department of Mathematics, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco

2 Department of Mathematics, Faculty of Sciences and Techniques, S. M. Ben Abdellah University, Fez, Morocco

3 Department of Mathematics, Faculty of Sciences, Ibn Tofai University, Kenitra, Morocco

doi
10.22075/ijnaa.2021.22217.2338
چکیده

In this paper, we will study a type and refinement of Selberg type inequalities on semi-Hilbertian spaces, which is a simultaneous extension of the Bombieri type inequality in a semi-Hilbertian space. As applications, we give some examples of the Selberg inequality and its refinement on semi-Hilbertian spaces.

کلیدواژه‌ها
Selberg’s inequality, Semi inner products, operators algebra