| dc.creator | Aguayo Garrido, José | |
| dc.creator | Nova, Miguel | |
| dc.creator | Shamseddine, Khodr | |
| dc.date | 2015-11-10T18:03:09Z | |
| dc.date | 2015-11-10T18:03:09Z | |
| dc.date | 2015 | |
| dc.identifier | INDAGATIONES MATHEMATICAE 26 | |
| dc.identifier | 0019-3577 | |
| dc.identifier | http://repositoriodigital.ucsc.cl/handle/25022009/251 | |
| dc.description | Artículo de publicación ISI | |
| dc.description | Let C be the complex Levi-Civita field and let c0(C) or, simply, c0 denote the space of all null sequences z=(zn)n∈N of elements of C. The natural inner product on c0 induces the sup-norm of c0. In a previous paper Aguayo et al. (2013), we presented characterizations of normal projections, adjoint operators and compact operators on c0. In this paper, we work on some B∗-algebras of operators, including those mentioned above; then we define an inner product on such algebras and prove that this inner product induces the usual norm of operators. We finish the paper with a characterization of closed subspaces of the B∗-algebra of all adjoint and compact operators on c0 which admit normal complements. | |
| dc.language | en_US | |
| dc.publisher | Elsevier | |
| dc.rights | Atribucion-Nocomercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.source | http://goo.gl/zcKf9m | |
| dc.subject | Banach spaces over non-Archimedean fields | |
| dc.subject | Inner products | |
| dc.subject | Compact operators | |
| dc.subject | Self-adjoint operators | |
| dc.subject | Positive operators | |
| dc.subject | B∗-algebras | |
| dc.title | Inner product on B*-algebras of operators on a free Banach space over the Levi-Civita field. | |
| dc.type | Article | |
