Soft g-frames in soft Hilbert spaces
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929473342930944 |
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| author | Ramezani, Sayyed Mehrab |
| author_facet | Ramezani, Sayyed Mehrab |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_14390 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Soft g-frames in soft Hilbert spaces Ramezani, Sayyed Mehrab Functional Analysis 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. |
| title | Soft g-frames in soft Hilbert spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2307.14390 |