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Rank-1 nilpotency linear preservers on nest algebras

โœ Scribed by Jianlian Cui; Maozheng Guo; Jinchuan Hou

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
346 KB
Volume
377
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

Rank-1 preserving linear maps on nest al
Rank-1 preserving linear maps on nest algebras
โœ Jinchuan Hou; Jianlian Cui ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Additive mappings that preserve rank one
Additive mappings that preserve rank one nilpotent operators
โœ Wu Jing; Pengtong Li; Shijie Lu ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 113 KB

Let B(X) be the algebra of bounded operators on a complex infinite dimensional Banach space X, and F (X) be the subalgebra of all finite rank operators in B(X). A characterization of additive mappings on F (X) which preserve rank one nilpotent operators in both directions is given. As applications o