On isometries of lp-spaces
This project explores the isometries between certain classes of infinite dimensional generalized Euclidean spaces. More specifically, we characterize the isometries between l^p and l^q, where 1 ≤ p, q < ∞ . The linear isometries of normed spaces are defined to be a norm-preserving surjection, an...
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Nanyang Technological University
2025
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sg-ntu-dr.10356-1844802025-05-05T15:37:11Z On isometries of lp-spaces Khoh, Jie Yu Tang Wee Kee School of Physical and Mathematical Sciences WeeKeeTang@ntu.edu.sg Mathematical Sciences lp-spaces This project explores the isometries between certain classes of infinite dimensional generalized Euclidean spaces. More specifically, we characterize the isometries between l^p and l^q, where 1 ≤ p, q < ∞ . The linear isometries of normed spaces are defined to be a norm-preserving surjection, and we aim to characterize the isometries by first introducing fundamental concepts of functional analysis. Bachelor's degree 2025-04-30T01:40:02Z 2025-04-30T01:40:02Z 2025 Final Year Project (FYP) Khoh, J. Y. (2025). On isometries of lp-spaces. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/184480 https://hdl.handle.net/10356/184480 en application/pdf Nanyang Technological University |
| institution |
Nanyang Technological University |
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NTU Library |
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Asia |
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Singapore Singapore |
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NTU Library |
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English |
| topic |
Mathematical Sciences lp-spaces |
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Mathematical Sciences lp-spaces Khoh, Jie Yu On isometries of lp-spaces |
| description |
This project explores the isometries between certain classes of infinite dimensional generalized Euclidean spaces. More specifically, we characterize the isometries between l^p and l^q, where 1 ≤ p, q < ∞ .
The linear isometries of normed spaces are defined to be a norm-preserving surjection, and we aim to characterize the isometries by first introducing fundamental concepts of functional analysis. |
| author2 |
Tang Wee Kee |
| author_facet |
Tang Wee Kee Khoh, Jie Yu |
| format |
Final Year Project |
| author |
Khoh, Jie Yu |
| author_sort |
Khoh, Jie Yu |
| title |
On isometries of lp-spaces |
| title_short |
On isometries of lp-spaces |
| title_full |
On isometries of lp-spaces |
| title_fullStr |
On isometries of lp-spaces |
| title_full_unstemmed |
On isometries of lp-spaces |
| title_sort |
on isometries of lp-spaces |
| publisher |
Nanyang Technological University |
| publishDate |
2025 |
| url |
https://hdl.handle.net/10356/184480 |
| _version_ |
1833072083542736896 |