(C; C')-Controlled g-Fusion Frames in Hilbert Spaces

Shakoory, Habib; Ahmadi, Reza; Rahimlou, Gholamreza; Sadri, Vahid

doi:10.52547/ijmsi.18.1.179

Cited by 2 publications

(3 citation statements)

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“…P. Balaz et al [6] introduced controlled frame to improve the numerical efficiency of interactive algorithms for inverting the frame operator. In recent times, several generalizations of controlled frame namely, controlled K-frame [26], controlled g-frame [27], controlled fusion frame [23], controlled g-fusion frame [34], controlled K-g-fusion frame [28] etc. have been appeared.…”

Section: Definition 11 ([1]mentioning

confidence: 99%

Weaving Continuous Controlled K-g-Gusion Frames in Hilbert Spaces

GHOSH,

SAMANTA

2024

KgJMat

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We introduce the notion of weaving continuous controlled K-g-fusion frame in Hilbert space. Some characterizations of weaving continuous controlled K-g-fusion frame have been presented. We extend some of the recent results of woven K-g-fusion frame and controlled K-g-fusion frame to woven continuous controlled K-g-fusion frame. Finally, a perturbation result of woven continuous controlled K-g-fusion frame has been studied.

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Section: Definition 11 ([1]mentioning

confidence: 99%

Weaving Continuous Controlled K-g-Gusion Frames in Hilbert Spaces

GHOSH,

SAMANTA

2024

KgJMat

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“…If Λ T U satisfies only the right inequality of (2), then it is called a ( T, U )-controlled g-fusion Bessel sequence in H. Definition 4. [25] Let Λ T U be a ( T, U )-controlled g-fusion Bessel sequence in H with a bound B. The synthesis operator T C : K Λ j → H is defined as…”

Section: Theorem 3 ([7]mentioning

confidence: 99%

“…Balaz et al [4] introduced controlled frame to improve the numerical efficiency 42 PRASENJIT GHOSH AND TAPAS KUMAR SAMANTA of interactive algorithms for inverting the frame operator. In recent times, several generalizations of controlled frame namely, controlled K-frame [21], controlled g-frame [22], controlled fusion frame [19], controlled g-fusion frame [25], controlled K-g-fusion frame [23] etc. have appeared.…”

Section: Introductionmentioning

confidence: 99%

Construction of continuous controlled K-g-fusion frames in Hilbert spaces

GHOSH,

Samanta

2024

ACUTM

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We present the notion of continuous controlled K-g-fusion frame in a Hilbert space which is generalization of discrete controlled K-g-fusion frame.We discuss some characterizations of a continuous controlled K-g-fusion frame. A relationship between a continuous controlled K-g-fusion frame and a quotient operator has been studied. Finally, stability of a continuous controlled g-fusion frame has been described.

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(C; C')-Controlled g-Fusion Frames in Hilbert Spaces

Cited by 2 publications

References 0 publications

Weaving Continuous Controlled K-g-Gusion Frames in Hilbert Spaces

Weaving Continuous Controlled K-g-Gusion Frames in Hilbert Spaces

Construction of continuous controlled K-g-fusion frames in Hilbert spaces

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