On the finite support property of Gul’ko-Khmyleva’s homeomorphism
It is established that for the homeomorphism of the spaces c0 and s × c0 constructed by S.P. Gulko and T.E. Khmylyov, the image of the first coordinate functional under the adjoint mapping has no finite support. As a consequence, we see that this homeomorphism does not have the finite support property. In addition, it is shown that the images of all other coordinate functionals under the adjoint mapping have finite supports. The authors thank S.P. Gubko and T.E. Khmyleva, as well as A.V. Osipov for their kind attention to this work. The authors thank S.P. Gubko and T.E. Khmyleva, as well as A.V. Osipov for their kind attention to this work.
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Keywords
pointwise convergence topology, t-equivalence, functional with a finite support, finite support propertyAuthors
| Name | Organization | |
| Ametova Valeriya S. | Tomsk State University | ametovalera@gmail.com |
| Lazarev Vadim R. | Tomsk State University | lazarev@math.tsu.ru |
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On the finite support property of Gul’ko-Khmyleva’s homeomorphism | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2022. № 80. DOI: 10.17223/19988621/80/1
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