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Additive maps derivable or Jordan derivable at zero point on nest algebras

โœ Scribed by Meiyan Jiao; Jinchuan Hou

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
168 KB
Volume
432
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

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,

Generalized derivable mappings at zero p
Generalized derivable mappings at zero point on some reflexive operator algebras
โœ Jun Zhu; Changping Xiong ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 237 KB

Let A be a subalgebra with the unit operator I in B(H ), we say that a linear mapping ฯ• from A into B(H ) is a generalized derivable mapping at zero point if ฯ•(ST ) = ฯ•(S)T + Sฯ•(T ) -Sฯ•(I )T for any S, T โˆˆ A with ST = 0. In this paper, we show the following main result: every norm-continuous general