Generalized atomic subspaces for operators in Hilbert spaces

Published 3 Feb 2021 in math.FA | (2102.01965v1)

Abstract: 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.

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