Sub-exact sequence on Hilbert space
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 i...
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| Main Authors: | , , , , |
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| Format: | Proceeding Paper |
| Language: | en en |
| Published: |
2020
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/94091/1/ICASMI%202020-Prof%20Mustofa%20Usman.pdf http://irep.iium.edu.my/94091/9/Book%20of%20Abstract%20the%203rd%20ICASMI%20v3.pdf http://irep.iium.edu.my/94091/ |
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| Summary: | 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. |
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