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arXiv · 2102.01965

Generalized atomic subspaces for operators in Hilbert spaces

Prasenjit Ghosh·T. K. Samanta
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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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Prasenjit Ghosh, T. K. Samanta. 2021-02-03. Generalized atomic subspaces for operators in Hilbert spaces. https://doi.org/10.21136/mb.2021.0130-20

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