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arXiv · 2307.14390

Soft g-frames in soft Hilbert spaces

Sayyed Mehrab Ramezani
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Abstract

In this paper, we define the concept of soft $g$-frame in soft Hilbert spaces by extending the concept of soft from frame to $g$-frame. We then show some properties of the soft $g$-frames in soft Hilbert spaces. Among other results, we show that the $g$-frame operator is associated with a soft, finite, self-adjoining, reversible, and finite inverse $g$-frame and get the dual g-frames. In addition, we prove that every element in Hilbert's soft space satisfies the theorem of $g$-frame decomposition.

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Sayyed Mehrab Ramezani. 2023-07-26. Soft g-frames in soft Hilbert spaces. https://arxiv.org/abs/2307.14390

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