Some New Characterizations of Intrinsic Transversality in Hilbert Spaces
© 2020, The Author(s). Motivated by a number of questions concerning transversality-type properties of pairs of sets recently raised by Ioffe and Kruger, this paper reports several new characterizations of the intrinsic transversality property in Hilbert spaces. New results in terms of normal vector...
| Main Authors: | , , , |
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| Format: | Journal Article |
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Springer
2020
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| Online Access: | http://purl.org/au-research/grants/arc/DP160100854 http://hdl.handle.net/20.500.11937/81336 |
| _version_ | 1848764349819125760 |
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| author | Thao, N.H. Bui, Hoa Cuong, N.D. Verhaegen, M. |
| author_facet | Thao, N.H. Bui, Hoa Cuong, N.D. Verhaegen, M. |
| author_sort | Thao, N.H. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2020, The Author(s). Motivated by a number of questions concerning transversality-type properties of pairs of sets recently raised by Ioffe and Kruger, this paper reports several new characterizations of the intrinsic transversality property in Hilbert spaces. New results in terms of normal vectors clarify the picture of intrinsic transversality, its variants and sufficient conditions for subtransversality, and unify several of them. For the first time, intrinsic transversality is characterized by an equivalent condition which does not involve normal vectors. This characterization offers another perspective on intrinsic transversality. As a consequence, the obtained results allow us to answer a number of important questions about transversality-type properties. |
| first_indexed | 2025-11-14T11:17:57Z |
| format | Journal Article |
| id | curtin-20.500.11937-81336 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:17:57Z |
| publishDate | 2020 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-813362021-01-07T07:46:46Z Some New Characterizations of Intrinsic Transversality in Hilbert Spaces Thao, N.H. Bui, Hoa Cuong, N.D. Verhaegen, M. © 2020, The Author(s). Motivated by a number of questions concerning transversality-type properties of pairs of sets recently raised by Ioffe and Kruger, this paper reports several new characterizations of the intrinsic transversality property in Hilbert spaces. New results in terms of normal vectors clarify the picture of intrinsic transversality, its variants and sufficient conditions for subtransversality, and unify several of them. For the first time, intrinsic transversality is characterized by an equivalent condition which does not involve normal vectors. This characterization offers another perspective on intrinsic transversality. As a consequence, the obtained results allow us to answer a number of important questions about transversality-type properties. 2020 Journal Article http://hdl.handle.net/20.500.11937/81336 10.1007/s11228-020-00531-7 http://purl.org/au-research/grants/arc/DP160100854 http://purl.org/au-research/grants/arc/IC180100030 http://creativecommons.org/licenses/by/4.0/ Springer fulltext |
| spellingShingle | Thao, N.H. Bui, Hoa Cuong, N.D. Verhaegen, M. Some New Characterizations of Intrinsic Transversality in Hilbert Spaces |
| title | Some New Characterizations of Intrinsic Transversality in Hilbert Spaces |
| title_full | Some New Characterizations of Intrinsic Transversality in Hilbert Spaces |
| title_fullStr | Some New Characterizations of Intrinsic Transversality in Hilbert Spaces |
| title_full_unstemmed | Some New Characterizations of Intrinsic Transversality in Hilbert Spaces |
| title_short | Some New Characterizations of Intrinsic Transversality in Hilbert Spaces |
| title_sort | some new characterizations of intrinsic transversality in hilbert spaces |
| url | http://purl.org/au-research/grants/arc/DP160100854 http://purl.org/au-research/grants/arc/DP160100854 http://hdl.handle.net/20.500.11937/81336 |