In this paper we study the relations of Hilbert Cmodules over Calgebra and JBtriples. Let Ebe a Hilbert Cmodule over a Calgebra A and U be a commutative JBtriple. We find that (1) E is isometric isomorphic to a operator JBtriple;

• 研究了HilbertC模和JBtripes的关系,我们证明了:(1)C代数上的每个Hilbert模等距同构于算子JBtriple;