On locally Hilbert spaces
This is an investigation of some basic properties of strictly inductive limits of Hilbert spaces, called locally Hilbert spaces, with respect to their topological properties, the geometry of their subspaces, linear functionals and dual spaces.
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2016-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol36/6/art/opuscula_math_3644.pdf |
| _version_ | 1818512895574540288 |
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| author | Aurelian Gheondea |
| author_facet | Aurelian Gheondea |
| author_sort | Aurelian Gheondea |
| collection | DOAJ |
| description | This is an investigation of some basic properties of strictly inductive limits of Hilbert spaces, called locally Hilbert spaces, with respect to their topological properties, the geometry of their subspaces, linear functionals and dual spaces. |
| first_indexed | 2024-12-10T23:53:23Z |
| format | Article |
| id | doaj.art-bbea362448314d71ba8f250bd4b56085 |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-10T23:53:23Z |
| publishDate | 2016-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-bbea362448314d71ba8f250bd4b560852022-12-22T01:28:41ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742016-01-01366735747http://dx.doi.org/10.7494/OpMath.2016.36.6.7353644On locally Hilbert spacesAurelian Gheondea0Bilkent University, Department of Mathematics, 06800 Bilkent, Ankara, TurkeyThis is an investigation of some basic properties of strictly inductive limits of Hilbert spaces, called locally Hilbert spaces, with respect to their topological properties, the geometry of their subspaces, linear functionals and dual spaces.http://www.opuscula.agh.edu.pl/vol36/6/art/opuscula_math_3644.pdflocally Hilbert spaceinductive limitprojective limitorthocomplemented subspaceslinear functionaldual spaces |
| spellingShingle | Aurelian Gheondea On locally Hilbert spaces Opuscula Mathematica locally Hilbert space inductive limit projective limit orthocomplemented subspaces linear functional dual spaces |
| title | On locally Hilbert spaces |
| title_full | On locally Hilbert spaces |
| title_fullStr | On locally Hilbert spaces |
| title_full_unstemmed | On locally Hilbert spaces |
| title_short | On locally Hilbert spaces |
| title_sort | on locally hilbert spaces |
| topic | locally Hilbert space inductive limit projective limit orthocomplemented subspaces linear functional dual spaces |
| url | http://www.opuscula.agh.edu.pl/vol36/6/art/opuscula_math_3644.pdf |
| work_keys_str_mv | AT aureliangheondea onlocallyhilbertspaces |