Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Some properties of uaw-Dunford-Pettis operators

Sanaa Boumnidel, Noufissa Hafidi

Abstract

This paper introduces and investigates novel properties of uaw-Dunford-Pettis operators on Banach spaces, exploring their relationships with other classes of operators. We further define and characterize new property of Banach lattices. Also we introduce and study the weak* version of uaw-Dunford-Pettis operator, highlighting their relationships with other classes of operators.

Some properties of uaw-Dunford-Pettis operators

Abstract

This paper introduces and investigates novel properties of uaw-Dunford-Pettis operators on Banach spaces, exploring their relationships with other classes of operators. We further define and characterize new property of Banach lattices. Also we introduce and study the weak* version of uaw-Dunford-Pettis operator, highlighting their relationships with other classes of operators.
Paper Structure (3 sections, 21 theorems, 10 equations)

This paper contains 3 sections, 21 theorems, 10 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Main Results

Key Result

Proposition 3.1

Let $E$ and $F$ be two Banach lattices. If $T:E\longrightarrow F$ is uaw-Dunford-Pettis and $S:G\longrightarrow E$ is $\sigma$-uaw-compact then $T\circ S$ is compact.

Theorems & Definitions (48)

  • Proposition 3.1
  • Remark 3.1
  • Theorem 3.1
  • proof
  • Remark 3.2
  • Theorem 3.2
  • proof
  • Proposition 3.2
  • proof
  • Definition 3.1
  • ...and 38 more