Title of article :
K-G-Frames and G-Atomic Systems in Hilbert Pro-C*-Modules
Author/Authors :
Nazari ، Akbar Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman , Ahmadi Moosavi ، Zahra Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman
Abstract :
In this paper, the concept of K-g-frames in Hilbert pro-C∗- modules is introduced, and their basic properties are examined. The conditions under which family of operators can form a K-g-frame on Hilbert pro-C∗-modules are derived. Moreover g-atomic systems in Hilbert pro-C∗-modules are introduced and their properties are examined.
Keywords :
Hilbert modules over pro , C∗ , algebras , K , G , frames , Frame operators , Bounded module maps , G , atomic systems
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
