Ostrowski's inequality in pre-Hilbert C✻-modules

Chebyshev Centers and Approximation in Pre-Hilbert C*-Modules

Generalizations of Bohr’s Inequality in Hilbert C∗-modules

We present a new operator equality in the framework of Hilbert C∗-modules. As a consequence, we get an extension of the Euler–Lagrange type identity in the setting of Hilbert bundles as well as several generalized operator Bohr’s inequalities due to O. Hirzallah, W.-S. Cheung–J.E. Pečarić and F. Zhang.

chebyshev centers and approximation in pre-hilbert c*-modules

G-frames in Hilbert Modules Over Pro-C*-‎algebras

G-frames are natural generalizations of frames which provide more choices on analyzing functions from frame expansion coefficients. First, they were defined in Hilbert spaces and then generalized on C*-Hilbert modules. In this paper, we first generalize the concept of g-frames to Hilbert modules over pro-C*-algebras. Then, we introduce the g-frame operators in such spaces and show that they sha...

Dynamical Systems on Hilbert C*-Modules