Surjective isometries on Banach sequence spaces: A survey
In this survey, we present several results related to characterizing the surjective isometries on Banach sequence spaces. Our survey includes full proofs of these characterizations for the classical spaces as well as more recent results for combinatorial Banach spaces and Tsirelson-type spaces. Alon...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-04-01
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| Series: | Concrete Operators |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/conop-2022-0125 |
| _version_ | 1797947715149103104 |
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| author | Antunes Leandro Beanland Kevin |
| author_facet | Antunes Leandro Beanland Kevin |
| author_sort | Antunes Leandro |
| collection | DOAJ |
| description | In this survey, we present several results related to characterizing the surjective isometries on Banach sequence spaces. Our survey includes full proofs of these characterizations for the classical spaces as well as more recent results for combinatorial Banach spaces and Tsirelson-type spaces. Along the way, we pose many open problems related to the structure of the group of surjective isometries for various Banach spaces. |
| first_indexed | 2024-04-10T21:32:11Z |
| format | Article |
| id | doaj.art-e2fc48c469094cecb01714359d279aaf |
| institution | Directory Open Access Journal |
| issn | 2299-3282 |
| language | English |
| last_indexed | 2024-04-10T21:32:11Z |
| publishDate | 2022-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Concrete Operators |
| spelling | doaj.art-e2fc48c469094cecb01714359d279aaf2023-01-19T13:20:29ZengDe GruyterConcrete Operators2299-32822022-04-0191194010.1515/conop-2022-0125Surjective isometries on Banach sequence spaces: A surveyAntunes Leandro0Beanland Kevin1Departamento de Matemática, Universidade Tecnológica Federal do Paraná, Campus Toledo, 85902-490 Toledo, PRBrazilDepartment of Mathematics, Washington and Lee University, Lexington, VA 24450In this survey, we present several results related to characterizing the surjective isometries on Banach sequence spaces. Our survey includes full proofs of these characterizations for the classical spaces as well as more recent results for combinatorial Banach spaces and Tsirelson-type spaces. Along the way, we pose many open problems related to the structure of the group of surjective isometries for various Banach spaces.https://doi.org/10.1515/conop-2022-0125surjective isometriesbanach spaces46b0446b2546b45 |
| spellingShingle | Antunes Leandro Beanland Kevin Surjective isometries on Banach sequence spaces: A survey Concrete Operators surjective isometries banach spaces 46b04 46b25 46b45 |
| title | Surjective isometries on Banach sequence spaces: A survey |
| title_full | Surjective isometries on Banach sequence spaces: A survey |
| title_fullStr | Surjective isometries on Banach sequence spaces: A survey |
| title_full_unstemmed | Surjective isometries on Banach sequence spaces: A survey |
| title_short | Surjective isometries on Banach sequence spaces: A survey |
| title_sort | surjective isometries on banach sequence spaces a survey |
| topic | surjective isometries banach spaces 46b04 46b25 46b45 |
| url | https://doi.org/10.1515/conop-2022-0125 |
| work_keys_str_mv | AT antunesleandro surjectiveisometriesonbanachsequencespacesasurvey AT beanlandkevin surjectiveisometriesonbanachsequencespacesasurvey |