An exotic characterization of a commutative H*-algebra

Abstract

Commutative H*-algebra is characterized in terms of the property that the orthogonal complement of a right ideal is a left ideal.

Keywords

• Hilbert algebra
• commutative H*-algebra
• right complemented algebra
• right annihilator
• left annihilator
• Jacobson radical
• semi-simplicity
• left projection.