*-frames in Hilbert modules over pro-C*-algebras
Authors
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 $ ast $-frames. Some properties of $ ast $-frames in Hilbert pro-$ C^* $-modules are studied. Also, we show that there exist two differences between $ ast $-frames in Hilbert pro-$ C^* $-modules and Hilbert $ C^* $-modules. Finally, dual $ ast $-frames in Hilbert pro-$ C^* $-modules are presented.
similar resources
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...
full textHilbert modules over pro-C*-algebras
In this paper, we generalize some results from Hilbert C*-modules to pro-C*-algebra case. We also give a new proof of the known result that l2(A) is aHilbert module over a pro-C*-algebra A.
full textFusion frames in Hilbert modules over pro-C*-algebras
In this paper, we introduce fusion frames in Hilbert modules over pro-C*-algebras. Also, we give some useful results about these frames.
full textOn Frames in Hilbert Modules over Pro-c-algebras
We introduce the concept of frame of multipliers in Hilbert modules over pro-C∗-algebras and show that many properties of frames in Hilbert C∗-modules are valid for frames of multipliers in Hilbert modules over proC∗-algebras.
full textMy Resources
Journal title
volume 08 issue 01
pages 1- 10
publication date 2019-02-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023