A Finite Decomposition in a Simple Unital C*-Algebra
Reinhart Gunadi, Janny Lindiarni, Afif Humam and Wono Setya Budhi

Institut Teknologi Bandung

Abstract

In this paper we discuss a decomposition of a positive element in a simple unital C*-algebra. In contrast to the decomposition of the eigenspaces of an operator which can be done on the entire space, the decomposition is done as a sum of several elements already in decomposition form.

Keywords: positif element, decomposition

Topic: Functional Analysis