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Keywords:
frame; atomic subspace; $g$-fusion frame; $K$-$g$-fusion frame
frame; atomic subspace; $g$-fusion frame; $K$-$g$-fusion frame
Summary:
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. Also, we shall describe the concept of frame operator for a pair of $g$-fusion Bessel sequences and some of their properties.
References:
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