A generalized notion of convergence of sequences of subspaces in an inner product space via ideals
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929284639096832 |
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| author | Malik, Prasanta Das, Saikat |
| author_facet | Malik, Prasanta Das, Saikat |
| contents | In this paper we introduce the notion of I-convergence of sequences of k-dimensional subspaces of an inner product space, where I is an ideal of subsets of N, the set of all natural numbers and k in N. We also study some basic properties of this notion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14357 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A generalized notion of convergence of sequences of subspaces in an inner product space via ideals Malik, Prasanta Das, Saikat Functional Analysis Primary 40A05, 40A35, Secondary 15A63, 46B20 In this paper we introduce the notion of I-convergence of sequences of k-dimensional subspaces of an inner product space, where I is an ideal of subsets of N, the set of all natural numbers and k in N. We also study some basic properties of this notion. |
| title | A generalized notion of convergence of sequences of subspaces in an inner product space via ideals |
| topic | Functional Analysis Primary 40A05, 40A35, Secondary 15A63, 46B20 |
| url | https://arxiv.org/abs/2403.14357 |