Title of article :
C∗-Module Algebras
Author/Authors :
Asadi ، Mohammad B. School of Mathematics, Statistics and Computer Science, College of Science - University of Tehran , Rezavand ، Reza School of Mathematics, Statistics and Computer Science, College of Science - University of Tehran
Abstract :
In this paper, we define C∗ -module algebras as a generalization of Hilbert algebras and study their properties. We describe some structures of a C∗ -module algebra including bounded elements and left (right) module adjointable maps. Furthermore we establish some properties of Hilbert algebras for C∗ -module algebras.
Keywords :
Hilbert algebra · Hilbert C∗ , module · C∗ , module algebra · W∗ , module algebra
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
