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On some properties of $n$-EP and $n$-hypo-EP operators

Rachid Semmami, Hamid Ezzahraoui, El Hassan Zerouali

Abstract

This article, is devoted to $n$-EP and $n$-hypo-EP operators. We give some characteristic properties of these two classes and various links with other known classes in the literature, especially the classes of EP, SD, hypo-EP and $n$-normal operators.

On some properties of $n$-EP and $n$-hypo-EP operators

Abstract

This article, is devoted to -EP and -hypo-EP operators. We give some characteristic properties of these two classes and various links with other known classes in the literature, especially the classes of EP, SD, hypo-EP and -normal operators.

Paper Structure

This paper contains 7 sections, 26 theorems, 53 equations.

Table of Contents

  1. Introduction
  2. Some proprieties of $n$-EP operators
  3. EP and SD operators
  4. Basic properties of $n$-EP operators
  5. $n$-hypo-EP operators
  6. Some properties of hypo-EP operators
  7. Characterization of $n$-hypo-EP operators

Key Result

Proposition 1

If $T\in\mathcal{R(H)}$, then

Theorems & Definitions (57)

  • Proposition 1
  • Example 1
  • Example 2
  • Example 3
  • Theorem 1
  • proof
  • Proposition 2
  • proof
  • Proposition 3
  • proof
  • ...and 47 more