A combinatorial approach to monotonic independence over a C*-algebra
| dc.creator | Popa, Mihai | |
| dc.date | 2006-12-19 | |
| dc.date | 2008-09-05 | |
| dc.date.accessioned | 2026-07-07T10:00:44Z | |
| dc.date.available | 2026-07-07T10:00:44Z | |
| dc.description | The notion of monotonic independence, introduced by N. Muraki, is considered in a more general frame, similar to the construction of operator-valued free probability. The paper presents constructions for maps with similar properties to the H and K transforms from the literature, semi inner-product bimodule analogues for the monotone and weakly monotone product of Hilbert spaces, an ad-hoc version of the Central Limit Theorem, an operator-valued arsine distribution as well as a connection to operator-valued conditional freeness. | |
| dc.description | final version, published in PJM | |
| dc.identifier | https://arxiv.org/abs/math/0612570 | |
| dc.identifier | http://arxiv.org/abs/math/0612570 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168405 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L53, 46L08 | |
| dc.title | A combinatorial approach to monotonic independence over a C*-algebra | |
| dc.type | text |