B.H.S., Utami . and Fitriani, Fitriani and Usman, M and Warsono, Warsono and Daoud, Jamal I (2020) Sub-exact sequence on Hilbert space. In: 3rd International Conference on Applied Sciences Mathematics and Informatics (ICASMI 2020), 3-4 September 2020, Virtual. (Unpublished)
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Abstract
The notion of the sub-exact sequence is the generalization of exact sequence in algebra especially on a module. A module over a ring R is a generalization of the notion of vector space over a field F. Refers to a special vector space over field F when we have a complete inner product space, it is called a Hilbert space. A space is complete if every Cauchy sequence converges. Now, we introduce the sub-exact sequence on Hilbert space which can later be useful in statistics. This paper aims to investigate the properties of the subexact sequence and their relation to direct summand on Hilbert space. As the result, we get two properties of isometric isomorphism sub-exact sequence on Hilbert space.
| Item Type: | Conference or Workshop Item (Slide Presentation) |
|---|---|
| Uncontrolled Keywords: | complete inner product space, direct summand, Hilbert space, sub-exact sequence Introduction. |
| Subjects: | Q Science > QA Mathematics > QA300 Analysis |
| Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): | Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science |
| Depositing User: | Assoc.Prof.Dr Jamal Daoud |
| Date Deposited: | 26 Nov 2021 14:17 |
| Last Modified: | 26 Nov 2021 14:17 |
| URI: | http://irep.iium.edu.my/id/eprint/94091 |
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