Volume 18, Issue 2 (10-2023)
IJMSI 2023, 18(2): 169-183 |
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Nazari A, Ahmadi Moosavi Z. K-G-Frames and G-Atomic Systems in Hilbert Pro-C*-Modules. IJMSI 2023; 18 (2) :169-183
URL: http://ijmsi.ir/article-1-1668-en.html
URL: http://ijmsi.ir/article-1-1668-en.html
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 proC∗-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.
Type of Study: Research paper |
Subject:
General
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