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Elementary maps on nest algebras

✍ Scribed by Pengtong Li

Book ID
108175299
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
182 KB
Volume
320
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

Additivity of Jordan elementary maps on
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✍ 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

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✍ Zhengchu Ling; Fangyan Lu πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 178 KB

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.

Rank-1 preserving linear maps on nest al
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✍ Jinchuan Hou; Jianlian Cui πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 160 KB

In this paper, we characterize rank-1 preserving linear maps between nest algebras acting on real or complex Banach spaces. As applications, we show that every weakly continuous and surjective local automorphism (or, anti-automorphism) on a nest algebra with an additional property is either an autom