(m, q)-ISOMETRIES ON METRIC SPACES
We show that there exist a linear m-isometry on a Hilbert space which is not continuous, and a continuous m-isometry on a Hilbert space which is not affine. Further we define (m, q)-isometries on metric spaces and prove their basic properties.
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| Veröffentlicht in: | Journal of operator theory 2014-12, Vol.72 (2), p.313-328 |
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| container_end_page | 328 |
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| container_issue | 2 |
| container_start_page | 313 |
| container_title | Journal of operator theory |
| container_volume | 72 |
| creator | Bermudez, Teresa Martinon, Antonio Muller, Vladimir |
| description | We show that there exist a linear m-isometry on a Hilbert space which is not continuous, and a continuous m-isometry on a Hilbert space which is not affine. Further we define (m, q)-isometries on metric spaces and prove their basic properties. |
| doi_str_mv | 10.7900/jot.2013jan29.1996 |
| format | Article |
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| identifier | ISSN: 0379-4024 |
| ispartof | Journal of operator theory, 2014-12, Vol.72 (2), p.313-328 |
| issn | 0379-4024 1841-7744 |
| language | eng |
| recordid | cdi_crossref_primary_10_7900_jot_2013jan29_1996 |
| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; EZB-FREE-00999 freely available EZB journals |
| subjects | Banach space Differential equations Hilbert spaces Integers Linear algebra Linear transformations Mathematical theorems Normed spaces Operator theory Real numbers |
| title | (m, q)-ISOMETRIES ON METRIC SPACES |
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