• Corpus ID: 244728377

Controlled g-atomic subspaces for operators in Hilbert spaces

@inproceedings{Ghosh2021ControlledGS,
  title={Controlled g-atomic subspaces for operators in Hilbert spaces},
  author={Prasenjit Ghosh and Tapas Kumar Samanta},
  year={2021}
}
Controlled g-atomic subspace for a bounded linear operator is being presented and a characterization has been given.We give an example of controlled K-g-fusion frame.We construct a new controlled K-g-fusion frame for the Hilbert space H ⊕ X using the controlled K-g-fusion frames of the Hilbert spaces H and X. Several useful resolutions of the identity operator on a Hilbert space using the theory of controlled g-fusion frames have been discussed. Frame operator for a pair of controlled g-fusion… 

References

SHOWING 1-10 OF 24 REFERENCES
Controlled K-frames in Hilbert Spaces
K-frames were recently introduced by L. G\v{a}vruta in Hilbert spaces to study atomic systems with respect to bounded linear operator. Also controlled frames have been recently introduced by P.
Construction of k-g-fusion frames and their duals in Hilbert spaces
Frames for operators or k-frames were recently considered by Gavruta (2012) in connection with atomic systems. Also generalized frames are important frames in the Hilbert space of bounded linear
Generalized atomic subspaces for operators in Hilbert spaces
Frames for Hilbert spaces were first introduced by Duffin and Schaeffer in 1952 to study some fundamental problems in non-harmonic Fourier series (see [7]). Later on, after some decades, frame theory
Controlled G-Frames and Their G-Multipliers in Hilbert spaces
Abstract Multipliers have been recently introduced by P. Balazs as operators for Bessel sequences and frames in Hilbert spaces. These are opera- tors that combine (frame-like) analysis, a
G-frames and G-Riesz Bases ⁄
G-frames are generalized frames which include ordinary frames, bounded invertible linear operators, as well as many recent generalizations of frames, e.g., bounded quasi-projectors and frames of
Stability of dual $g$-fusion frames in Hilbert spaces
We give a characterization of K-g-fusion frames and discuss the stability of dual g-fusion frames. We also present a necessary and su cient condition for a quotient operator to be bounded.  ¤ õâìáï
Generalized fusion frame in tensor product of Hilbert spaces
Generalized fusion frame and some of their properties in tensor product of Hilbert spaces are described. Also, the canonical dual g-fusion frame in tensor product of Hilbert spaces is considered.
PAINLESS NONORTHOGONAL EXPANSIONS
In a Hilbert space H, discrete families of vectors {hj} with the property that f=∑j〈hj‖ f〉hj for every f in H are considered. This expansion formula is obviously true if the family is an orthonormal
Introductory Functional Analysis With Applications
Metric Spaces. Normed Spaces Banach Spaces. Inner Product Spaces Hilbert Spaces. Fundamental Theorems for Normed and Banach Spaces. Further Applications: Banach Fixed Point Theorem. Spectral Theory
On majorization, factorization, and range inclusion of operators on Hilbert space
The purpose of this note is to show that a close relationship exists between the notions of majorization, factorization, and range inclusion for operators on a Hilbert space. Although fragments of
...
1
2
3
...