# 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…

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