𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Jordan maps of nest algebras

✍ Scribed by Zhengchu Ling; Fangyan Lu

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
178 KB
Volume
387
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we prove that a bijective map Ο† from A, a standard subalgebra of a nest algebra on a Hilbert space, onto an algebra that satisfies

where r is a fixed nonzero rational number, is additive.

πŸ“œ SIMILAR VOLUMES

Additivity of Jordan elementary maps on
Additivity of Jordan elementary maps on nest algebras
✍ Pengtong Li; Fangyan Lu πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 220 KB

Let A be a standard subalgebra of a nest algebra on a Hilbert space of dimension greater than one and B an arbitrary algebra. A Jordan elementary map of A Γ— B is a pair (M, M \* ) where M : A β†’ B and M \* : B β†’ A are two maps satisfying In this note, it is proved that for a special class of surject

Additivity of Jordan maps on Jordan alge
Additivity of Jordan maps on Jordan algebras
✍ Peisheng Ji πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 158 KB

Let A and B be two Jordan algebras. In this paper, we investigate the additivity of maps Ο† from A onto B that are bijective and satisfy for all a, b ∈ A. If A contains an idempotent which satisfies some conditions, then Ο† is additive. This result generalizes all results about additivity of Jordan m

Weak*–closed Jordan ideals of nest algeb
Weak*–closed Jordan ideals of nest algebras
✍ Lina Oliveira πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 204 KB

## Abstract Nest algebras provide examples of partial Jordan \*–triples. If __A__ is a nest algebra and __A__~__s__~ = __A__ ∩ A\*, where __A__\* is the set of the adjoints of the operators lying in __A__, then (__A__, __A__~__s__~) forms a partial Jordan \*–triple. Any weak\*–closed ideal in the n