An Extension of Egoroff ’s and Lusin’s Theorems in Operator-valued Case, By Ali Bagheri-Bardi

Research

Title	An Extension of Egoroff ’s and Lusin’s Theorems in Operator-valued Case
Type	Article
Keywords	—
Journal	Filomat
DOI	—
Researchers	Ali Bagheri-Bardi (First researcher) ,

Abstract

Here, we extend three basic facts from classical measure theory to operator-valued case. At first we show that operator-valued measurable functions may be approximated by simple ones. In the sequel, two fundamental theorems Egoro and Lusin are extended in operator-valued case