Extremely Non-symmetric, Non-multiplicative, Non-commutative Operator Spaces
| dc.creator | Szymanski, Waclaw | |
| dc.date | 2008-05-22 | |
| dc.date.accessioned | 2026-07-07T09:40:25Z | |
| dc.date.available | 2026-07-07T09:40:25Z | |
| dc.description | Motivated by importance of operator spaces contained in the set of all scalar multiples of isometries ($MI$-spaces) in a separable Hilbert space for $C^*$-algebras and E-semigroups we exhibit more properties of such spaces. For example, if an $MI$-space contains an isometry with shift part of finite multiplicity, then it is one-dimensional. We propose a simple model of a unilateral shift of arbitrary multiplicity and show that each separable subspace of a Hilbert space is the range of a shift. Also, we show that $MI$-spaces are non-symmetric, very unfriendly to multiplication, and prove a Commutator Identity which elucidates the extreme non-commutativity of these spaces. | |
| dc.identifier | https://arxiv.org/abs/0805.3513 | |
| dc.identifier | http://arxiv.org/abs/0805.3513 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161483 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L07 | |
| dc.title | Extremely Non-symmetric, Non-multiplicative, Non-commutative Operator Spaces | |
| dc.type | text |