Title of article :
*-frames in Hilbert modules over pro-C*-algebras
Author/Authors :
Naroei Irani, M. Department of Mathematics- Islamic Azad University, Kerman Branch , Nazari, A. Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman
Abstract :
In this paper, by using the sequence of multipliers, we introduce frames with
algebraic bounds in Hilbert pro-C
*-modules. We investigate the relations between frames
and -frames. Some properties of *-frames in Hilbert pro-C
*-modules are studied. Also, we
show that there exist two dierences between *-frames in Hilbert pro-C
*-modules and Hilbert
C*-modules. Finally, dual *frames in Hilbert pro-C *-modules are presented.
Keywords :
Hilbert modules over pro-C , standard frame of multipliers , standard
Journal title :
Astroparticle Physics
