๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Invertibility preserving linear maps on J-subspace lattice algebras

โœ Scribed by Pengtong Li; Fangyan Lu; Jipu Ma

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
136 KB
Volume
372
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

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 maps derivable at some points o
Additive maps derivable at some points on -subspace lattice algebras
โœ Jinchuan Hou; Xiaofei Qi ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

Let L be a J-subspace lattice on a real or complex Banach space X with dim X > 2 and AlgL be the associated J-subspace lattice algebra. Let ฮด : AlgL โ†’ AlgL be an additive map. It is shown that, if ฮด is derivable at zero point, i.e., ฮด(AB) = ฮด(A)B + Aฮด(B) whenever AB = 0, then ฮด(A) = ฯ„ (A) + ฮปA, โˆ€A,

On invertibility preserving linear mappi
On invertibility preserving linear mappings, simultaneous triangularization and Property L
โœ Erik Christensen ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 133 KB

Let A be a unital matrix algebra, ฯ• : A โ†’ M n (C) a unital linear mapping and B the algebra generated by ฯ•(A). The mapping ฯ• is a homomorphism modulo the Jacobson radical in B if and only if for k = dim(B)dim(ฯ•(A)) + 3 the mapping ฯ• โŠ— id : A โŠ— M k (C) โ†’ B โŠ— M k (C) preserves invertibility. This resu