81 research outputs found
Some new properties of g-frame in Hilbert C*-modules
No full textThe theory of frames which appeared in the last half of the century, has been generalized rapidly and various generalizations of frames in Hilbert spaces and Hilbert -modules. In this paper, we will give some new properties of modular Riesz basis and modular -Riesz basis that present a generalization of the results established in a Hilbert space
New Properties of Dual Continuous K-g-Frames in Hilbert Spaces
No full textThe concept of frames in Hilbert spaces continues to play a very interesting role in many kinds of applications. In this paper, we study the notion of dual continuous K-g-frames in Hilbert spaces. Also, we establish some new properties
Controlled continuous --Frames in Hilbert -Modules
No full textThe frame theory is dynamic and exciting with various pure and applied
mathematics applications. In this paper, we introduce and study the concept of
Controlled Continuous --Frames in Hilbert -Modules, which is
a generalization of discrete controlled --Frames in Hilbert
-Modules. Also, we give some properties
Controlled -K-operator frame for
No full textFrame Theory has a great revolution for recent years. This theory has been
extended from Hilbert spaces to Hilbert -modules. In this paper, we
introduce the concept of Controlled --operator frame for the space
of all adjointable operators on a
Hilbert -module and we establish some results.Comment: arXiv admin note: substantial text overlap with arXiv:2008.0595
Controlled Continuous ∗-K-g-Frames for Hilbert C∗-Modules
No full textFrame theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert C∗-modules. In this paper, we define and study the new concept of controlled continuous ∗-K-g-frames for Hilbert C∗-modules and we establish some properties
Continuous ⁎-K-G-Frame in Hilbert C⁎-Modules
No full textFrame theory is exciting and dynamic with applications to a wide variety of areas in mathematics and engineering. In this paper, we introduce the concept of Continuous ⁎-K-g-frame in Hilbert C⁎-Modules and we give some properties
Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules
No full textFrame theory has a great revolution in recent years. This theory has been extended from the Hilbert spaces to Hilbert C∗-modules. In this paper, we consider the stability of continuous operator frame and continuous K-operator frames in Hilbert C∗-modules under perturbation, and we establish some properties
Controlled Frame for Operator in Hilbert c∗-Modules
No full textIn 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 EndA∗ℋ, where A is a C∗-algebra. Also, we establish some results of the controlled K-operator frame in EndA∗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
Controlled ∗-Operator Frames on Hilbert C∗-Modules
No full textIn this paper, we study the concept of controlled ∗-operator frames for the space of all adjointable operators on a Hilbert C∗-module H. Also, we discuss characterizations of controlled ∗-operator frames and we give some properties. Some illustrative examples are provided to advocate the usability of our results
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