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, โA,
โฆ LIBER โฆ
Multiplicative mappings at some points on matrix algebras
โ Scribed by Jun Zhu; Changping Xiong; Hong Zhu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 207 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
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