Upper bounds of numerical radius and $a$-numerical radius in $\mathcal{C}^*$-algebra setting using Orlicz functions

التفاصيل البيبلوغرافية
العنوان: Upper bounds of numerical radius and $a$-numerical radius in $\mathcal{C}^*$-algebra setting using Orlicz functions
المؤلفون: Mahapatra, Saikat, Birbonshi, Riddhick, Patra, Arnab
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Operator Algebras, Mathematics - Functional Analysis, Mathematics Subject Classification (2010): 46L05, 47A30, 47A12
الوصف: In this paper, several significant upper bounds for the numerical radius and $a$-numerical radius of an element in a $\mathcal{C}^*$-algebra are obtained using Orlicz functions. Many well-known results are obtained from our findings, depending on specific choices of Orlicz functions.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2411.04875
رقم الانضمام: edsarx.2411.04875
قاعدة البيانات: arXiv