| dc.creator | Aguayo Garrido, José | |
| dc.creator | Nova, M. | |
| dc.creator | Ojeda, J. | |
| dc.date | 2020-05-27T19:50:05Z | |
| dc.date | 2020-05-27T19:50:05Z | |
| dc.date | 2019 | |
| dc.identifier | P-Adic Numbers, Ultrametric Analysis, and Applications, Volume 11, Issue 1, 1 January 2019, Pages: 21-36 | |
| dc.identifier | 2070-0466 | |
| dc.identifier | http://repositoriodigital.ucsc.cl/handle/25022009/1662 | |
| dc.description | Artículo de publicación SCOPUS | |
| dc.description | This work will be centered in commutative Banach subalgebras of the algebra of bounded linear operators defined on free Banach spaces of countable type. The main goal of this work will be to formulate a representation theorem for these operators through integrals defined by spectral measures type. In order to get this objective, we will show that, under special conditions, each one of these algebras is isometrically isomorphic to some space of continuous functions defined over a compact set. Then, we will identify such compact sets developing the Gelfand space theory in the non-Archimedean setting. This fact will allow us to define a measure which is known as spectral measure. As a second goal, we will formulate a matrix representation theorem for this class of operators in which the entries of the matrices will be integrals coming from scalar measures. | |
| dc.language | en | |
| dc.publisher | P-Adic Numbers, Ultrametric Analysis, and Applications | |
| dc.source | https://link.springer.com/article/10.1134/S2070046619010023 | |
| dc.subject | C-algebras | |
| dc.subject | Representation theorems | |
| dc.subject | Compact operators | |
| dc.subject | Self-adjoint operators | |
| dc.subject | Spectral measure and integration | |
| dc.title | Representation theorems for operators on free banach spaces of countable Type | |
| dc.type | Article | |
