An Extension Theorem for a Sequence of Krein Space Contractions
Consider Krein spaces U and Y and let Hk and Kk be regular subspaces of U and Y, respectively, such that Hk⊂Hk+1 and Kk⊂Kk+1 (k∈N). For each k∈N, let Ak:Hk→Kk be a contraction. We derive necessary and sufficient conditions for the existence of a contraction B:U→Y such that BHk=Ak. Some interesting...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/5178454 |
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| _version_ | 1832554348589088768 |
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| author | Gerald Wanjala |
| author_facet | Gerald Wanjala |
| author_sort | Gerald Wanjala |
| collection | DOAJ |
| description | Consider Krein spaces U and Y and let Hk and Kk be regular subspaces of U and Y, respectively, such that Hk⊂Hk+1 and Kk⊂Kk+1 (k∈N). For each k∈N, let Ak:Hk→Kk be a contraction. We derive necessary and sufficient conditions for the existence of a contraction B:U→Y such that BHk=Ak. Some interesting results are proved along the way. |
| format | Article |
| id | doaj-art-347d6a959e9944fbbbe262d2dd2f7d1a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-347d6a959e9944fbbbe262d2dd2f7d1a2025-02-03T05:51:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/51784545178454An Extension Theorem for a Sequence of Krein Space ContractionsGerald Wanjala0Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod, 123 Muscat, OmanConsider Krein spaces U and Y and let Hk and Kk be regular subspaces of U and Y, respectively, such that Hk⊂Hk+1 and Kk⊂Kk+1 (k∈N). For each k∈N, let Ak:Hk→Kk be a contraction. We derive necessary and sufficient conditions for the existence of a contraction B:U→Y such that BHk=Ak. Some interesting results are proved along the way.http://dx.doi.org/10.1155/2018/5178454 |
| spellingShingle | Gerald Wanjala An Extension Theorem for a Sequence of Krein Space Contractions International Journal of Mathematics and Mathematical Sciences |
| title | An Extension Theorem for a Sequence of Krein Space Contractions |
| title_full | An Extension Theorem for a Sequence of Krein Space Contractions |
| title_fullStr | An Extension Theorem for a Sequence of Krein Space Contractions |
| title_full_unstemmed | An Extension Theorem for a Sequence of Krein Space Contractions |
| title_short | An Extension Theorem for a Sequence of Krein Space Contractions |
| title_sort | extension theorem for a sequence of krein space contractions |
| url | http://dx.doi.org/10.1155/2018/5178454 |
| work_keys_str_mv | AT geraldwanjala anextensiontheoremforasequenceofkreinspacecontractions AT geraldwanjala extensiontheoremforasequenceofkreinspacecontractions |