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

Invertibility of generalized g-frame multipliers in Hilbert spaces