Scholarlink

<p>In this paper, we establish several new inequalities for the norm and numerical radius of the sum of bounded linear operators. First, we explore the norm and numerical radius of operator sums in the context of the Moore-Penrose inverse. Second, we derive new upper bounds for the norm of the operator sum by employing an extension of the Schwarz inequality. Finally, we present a refinement of the Buzano inequality to obtain improved upper bounds for the norm and numerical radius of the sum of bounded linear operator.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Refinements of upper bounds for the norm and numerical radius for the sum of operators

  • 期刊论文

  • 发表日期：

    2026年7月6日

查看全文
  • Reza Rahimi,
  • Rahmatollah Lashkaripour,
  • Mojtaba Bakherad

摘要

In this paper, we establish several new inequalities for the norm and numerical radius of the sum of bounded linear operators. First, we explore the norm and numerical radius of operator sums in the context of the Moore-Penrose inverse. Second, we derive new upper bounds for the norm of the operator sum by employing an extension of the Schwarz inequality. Finally, we present a refinement of the Buzano inequality to obtain improved upper bounds for the norm and numerical radius of the sum of bounded linear operator.