Triple operators

Abstract

In this paper, we introduce a new class of operators acting on a complex Hilbert space â„‹ which is called triple operators. An operator ð‘‡âˆˆâ„¬(â„‹) is called triple operator if (ð‘‡ð‘‡âˆ—)ð‘‡=ð‘‡(ð‘‡ð‘‡âˆ—), where ð‘‡âˆ— is the adjoint of the operator ð‘‡.
We investigate some basic properties of such operators and study the relation between the triple operators and some other operators.