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arXiv · 2108.01467

Controlled g-atomic subspaces for operators in Hilbert spaces

Prasenjit Ghosh·T. K. Samanta
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Abstract

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 Bessel sequences has been introduced.

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Prasenjit Ghosh, T. K. Samanta. 2021-08-02. Controlled g-atomic subspaces for operators in Hilbert spaces. https://doi.org/10.3103/s1066369x22120064

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