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Controlled Frame for Operator in Hilbert c -Modules
Author(s) -
Hatim Labrigui,
Abdeslam Touri,
Mohamed Rossafi,
Samir Kabbaj
Publication year - 2022
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2022/7296689
Subject(s) - mathematics , usability , operator (biology) , frame (networking) , algebra over a field , pure mathematics , computer science , biochemistry , chemistry , repressor , human–computer interaction , transcription factor , gene , telecommunications
In this study, we will introduce a new concept, which is a controlled K -operator frame for the space of all adjointable operators on a Hilbert A -module ℋ which denoted End A ∗ ℋ , where A is a C ∗ -algebra. Also, we establish some results of the controlled K -operator frame in End A ∗ ℋ . The presented results are new and of interest for people working in this area. Some illustrative examples are provided to advocate the usability of our results.

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