Topological entropy for locally linearly compact vector spaces and field extensions
Let 𝕂 be a discrete field and (V, ϕ) a pair consisting of a locally linearly compact 𝕂-space V and a continuous endomorphism ϕ: V → V. We provide the formulae to compute the topological entropy ent* of the flow (V, ϕ) subject to either extension or restriction of scalars.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-02-01
|
| Series: | Topological Algebra and its Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/taa-2020-0005 |
| id |
doaj-f5456fb35e0542bf83b6816bbce9ccbb |
|---|---|
| record_format |
Article |
| spelling |
doaj-f5456fb35e0542bf83b6816bbce9ccbb2021-10-02T19:11:20ZengDe GruyterTopological Algebra and its Applications2299-32312020-02-0181586610.1515/taa-2020-0005taa-2020-0005Topological entropy for locally linearly compact vector spaces and field extensionsCastellano Ilaria0University of Udine, Viale delle Scienze 206, Udine33100 (Italy)Let 𝕂 be a discrete field and (V, ϕ) a pair consisting of a locally linearly compact 𝕂-space V and a continuous endomorphism ϕ: V → V. We provide the formulae to compute the topological entropy ent* of the flow (V, ϕ) subject to either extension or restriction of scalars.https://doi.org/10.1515/taa-2020-0005linearly compact vector spacelocally linearly compact vector spacetopological entropycontinuous endomorphismextensionrestrictionalgebraic dynamical system37a3515a0315a0420k3022b05 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Castellano Ilaria |
| spellingShingle |
Castellano Ilaria Topological entropy for locally linearly compact vector spaces and field extensions Topological Algebra and its Applications linearly compact vector space locally linearly compact vector space topological entropy continuous endomorphism extension restriction algebraic dynamical system 37a35 15a03 15a04 20k30 22b05 |
| author_facet |
Castellano Ilaria |
| author_sort |
Castellano Ilaria |
| title |
Topological entropy for locally linearly compact vector spaces and field extensions |
| title_short |
Topological entropy for locally linearly compact vector spaces and field extensions |
| title_full |
Topological entropy for locally linearly compact vector spaces and field extensions |
| title_fullStr |
Topological entropy for locally linearly compact vector spaces and field extensions |
| title_full_unstemmed |
Topological entropy for locally linearly compact vector spaces and field extensions |
| title_sort |
topological entropy for locally linearly compact vector spaces and field extensions |
| publisher |
De Gruyter |
| series |
Topological Algebra and its Applications |
| issn |
2299-3231 |
| publishDate |
2020-02-01 |
| description |
Let 𝕂 be a discrete field and (V, ϕ) a pair consisting of a locally linearly compact 𝕂-space V and a continuous endomorphism ϕ: V → V. We provide the formulae to compute the topological entropy ent* of the flow (V, ϕ) subject to either extension or restriction of scalars. |
| topic |
linearly compact vector space locally linearly compact vector space topological entropy continuous endomorphism extension restriction algebraic dynamical system 37a35 15a03 15a04 20k30 22b05 |
| url |
https://doi.org/10.1515/taa-2020-0005 |
| work_keys_str_mv |
AT castellanoilaria topologicalentropyforlocallylinearlycompactvectorspacesandfieldextensions |
| _version_ |
1716848009778561024 |