Partial Inner Product Spaces: Some Categorical Aspects
We make explicit in terms of categories a number of statements from the theory of partial inner product spaces (PIP-spaces) and operators on them. In particular, we construct sheaves and cosheaves of operators on certain PIP-spaces of practical interest.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/957592 |
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| _version_ | 1849683699143016448 |
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| author | Jean-Pierre Antoine Dominique Lambert Camillo Trapani |
| author_facet | Jean-Pierre Antoine Dominique Lambert Camillo Trapani |
| author_sort | Jean-Pierre Antoine |
| collection | DOAJ |
| description | We make explicit in terms of categories a number of statements from the theory of partial inner product spaces (PIP-spaces) and operators on them. In particular, we construct sheaves and cosheaves of operators on certain PIP-spaces of practical interest. |
| format | Article |
| id | doaj-art-cf13937f714a41518491bf55c87a635e |
| institution | DOAJ |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-cf13937f714a41518491bf55c87a635e2025-08-20T03:23:43ZengWileyAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/957592957592Partial Inner Product Spaces: Some Categorical AspectsJean-Pierre Antoine0Dominique Lambert1Camillo Trapani2Institut de Recherche en Mathématique et Physique (IRMP), Université Catholique de Louvain, 1348 Louvain-la-Neuve, BelgiumDipartimento di Matematica e Informatica, Università di Palermo, 90123 Palermo, ItalyNamur Center for Complex Systems (NAXYS), Facultés Universitaires Notre-Dame de la Paix, B-5000 Namur, BelgiumWe make explicit in terms of categories a number of statements from the theory of partial inner product spaces (PIP-spaces) and operators on them. In particular, we construct sheaves and cosheaves of operators on certain PIP-spaces of practical interest.http://dx.doi.org/10.1155/2011/957592 |
| spellingShingle | Jean-Pierre Antoine Dominique Lambert Camillo Trapani Partial Inner Product Spaces: Some Categorical Aspects Advances in Mathematical Physics |
| title | Partial Inner Product Spaces: Some Categorical Aspects |
| title_full | Partial Inner Product Spaces: Some Categorical Aspects |
| title_fullStr | Partial Inner Product Spaces: Some Categorical Aspects |
| title_full_unstemmed | Partial Inner Product Spaces: Some Categorical Aspects |
| title_short | Partial Inner Product Spaces: Some Categorical Aspects |
| title_sort | partial inner product spaces some categorical aspects |
| url | http://dx.doi.org/10.1155/2011/957592 |
| work_keys_str_mv | AT jeanpierreantoine partialinnerproductspacessomecategoricalaspects AT dominiquelambert partialinnerproductspacessomecategoricalaspects AT camillotrapani partialinnerproductspacessomecategoricalaspects |