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On Sum and Stability of Continuous $G$-Frames [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
In this paper, we give some conditions under which the finite sum of continuous $g$-frames is again a continuous $g$-frame. We give necessary and sufficient conditions for the continuous $g$-frames $Lambda=left{Lambda_w in Bleft(H,K_wright): win ...
Azam Yousefzadeheyni   +1 more
doaj   +14 more sources

$G$-Frames Generated by Iterated Operators [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
Assuming that $\Lambda$ is a bounded operator on a Hilbert space $H$, this study investigate the structure of the $g$-frames generated by  iterations of $\Lambda$.
Morteza Rahmani
doaj   +3 more sources

CONSTRUCTIONS OF WEAVING CONTINUOUSG-FRAMES FOR OPERATORS IN HILBERT SPACES

open access: yesПроблемы анализа, 2021
In this paper, we introduce the concept of weavingcontinuous K-g-frames in Hilbert spaces, which are the generali-zation of weaving K-g-frames and weaving c-g-frames.
E. Alizadeh, V. Sadri
doaj   +3 more sources

Invertibility of Multipliers for Continuous G-frames [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, we study the concept of multipliers for the continuous $g$-Bessel families in Hilbert spaces. We present necessary conditions for invertibility of multipliers for the continuous $g$-Bessel families and sufficient conditions for ...
Mohammad Reza Abdollahpour   +1 more
doaj   +3 more sources

Duality of Continuous K-g-Frames [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
K-g-frames, as an extension of g-frames and K-frames are one of the active fields in frame theory. In this paper, we  consider continuous K-g-frames which are a generalization of discrete K-g-frames.
Atefe Razghandi, Ali Akbar Arefijamaal
doaj   +3 more sources

Decompositions of g-Frames and Duals and Pseudoduals of g-Frames in Hilbert Spaces

open access: yesJournal of Function Spaces, 2015
Firstly, we study the representation of g-frames in terms of linear combinations of simpler ones such as g-orthonormal bases, g-Riesz bases, and normalized tight g-frames.
Xunxiang Guo
doaj   +3 more sources

$G$-Frames for operators in Hilbert spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2017
$K$-frames as a generalization of frames were introduced by L. Gu{a}vruc{t}a to study atomic systems on Hilbert spaces which allows, in a stable way, to reconstruct elements from the range of the bounded linear operator $K$ in a Hilbert space.
Bahram Dastourian, Mohammad Janfada
doaj   +3 more sources

Stability of g-frames [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shengnan Shi, Yongdong Huang
  +8 more sources

Woven g-Fusion Frames in Hilbert Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces.
Maryam Mohammadrezaee   +3 more
doaj   +1 more source

Generalized atomic subspaces for operators in Hilbert spaces [PDF]

open access: yesMathematica Bohemica, 2022
We introduce the notion of a $g$-atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of $g$-fusion frames.
Prasenjit Ghosh, Tapas Kumar Samanta
doaj   +1 more source

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