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arXiv · 1906.07065

Invertibility of generalized g-frame multipliers in Hilbert spaces

M. Abolghasemi·Y. Tolooei·Z. Moosavianfard
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Abstract

In this paper, we investigate the invertibility of generalized g-Bessel multipliers. We show that for semi-normalized symbols, the inverse of any invertible generalized g-frame multiplier can be represented as a generalized g-frame multiplier. Also we give several approaches for constructing invertible generalized g-frame multipliers from the given one. It is worth mentioning that some of our results are quite different from those studied in the previous literatures on this topic.

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M. Abolghasemi, Y. Tolooei, Z. Moosavianfard. 2019-06-17. Invertibility of generalized g-frame multipliers in Hilbert spaces. https://arxiv.org/abs/1906.07065

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