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Some Sharp bounds for the generalized Davis-Wielandt radius

Mehdi Naimi, Mohammed Benharrat, Faouzi Hireche

Abstract

This paper presents a study of the generalized Davis-Wielandt radius of Hilbert space operators. New lower bounds for the generalized Davis-Wielandt radius and numerical radius are provided. An alternative of the triangular inequality for operators is also derived.

Some Sharp bounds for the generalized Davis-Wielandt radius

Abstract

This paper presents a study of the generalized Davis-Wielandt radius of Hilbert space operators. New lower bounds for the generalized Davis-Wielandt radius and numerical radius are provided. An alternative of the triangular inequality for operators is also derived.

Paper Structure

This paper contains 2 sections, 8 theorems, 61 equations.

Table of Contents

  1. Introduction
  2. Main Results

Key Result

Proposition 1

Let $T \in B(\mathcal{H} )$. We have

Theorems & Definitions (24)

  • Definition 1
  • Proposition 1
  • proof
  • Remark 1
  • Theorem 2
  • proof
  • Remark 2
  • Remark 3
  • Example 1
  • Remark 4
  • ...and 14 more