Modules and Bounded Linear Operators

Muna Jasim; Manal Ali

Modules and Bounded Linear Operators

Authors

Muna Jasim Department of Mathematics, College of Science for Women, Baghdad University.
Manal Ali Department of Mathematics, College of Science for Women, Baghdad University.

Keywords:

The module of an operator, algebraic elements of T, torsion elements of H_(〖T,T〗^*

Abstract

An associated R-module of T, which is denoted by V_(T,T^* ) is given, Where V is an inner product space and T is bounded linear operator on V. We study in this paper properties of T which effects V_(T,T^* ) and conversely.