On some properties of transitions operators
| dc.creator | Zucca, Fabio | |
| dc.date | 2001-03-12 | |
| dc.date | 2001-03-13 | |
| dc.date.accessioned | 2026-07-07T04:40:36Z | |
| dc.date.available | 2026-07-07T04:40:36Z | |
| dc.description | We study a general transition operator, generated by a random walk on a graph $X$; in particular we give necessary and sufficient condition on the matrix coefficient (1-step transition probablilities) to be a bounded operator from $l^\infty(X)$ into itself. Moreover we characterize compact operators and we relate this property to the behaviour of the associated random walk. We give a necessary and sufficient condition for the pre-adjoint of the discrete Laplace operator to be an injective map. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0103072 | |
| dc.identifier | http://arxiv.org/abs/math/0103072 | |
| dc.identifier | Extracta Mathematicae, 17 n.2 (2002), 201-209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61077 | |
| dc.subject | Probability | |
| dc.subject | Functional Analysis | |
| dc.subject | 60J15; 60J45 | |
| dc.title | On some properties of transitions operators | |
| dc.type | text |