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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/15012

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/15012

Title:	Partially Defined σ -derivations on Semisimple Banach Algebras
Authors:	Lee, Tsiu-Kwen;Liu, Cheng-Kai
Contributors:	數學系
Date:	2009-02
Issue Date:	2013-01-07T01:43:40Z
Publisher:	IMPAN
Abstract:	Let A be a semisimple Banach algebra with a linear automorphism σ and let δ:I→A be a σ -derivation, where I is an ideal of A . Then Φ(δ)(I∩σ(I))=0 , where Φ(δ) is the separating space of δ . As a consequence, if I is an essential ideal then the σ -derivation δ is closable. In a prime C ∗ -algebra, we show that every σ -derivation defined on a nonzero ideal is continuous. Finally, any linear map on a prime semisimple Banach algebra with nontrivial idempotents is continuous if it satisfies the σ -derivation expansion formula on zero products.
Relation:	Studia Mathematica, 190(2): 193-202
Appears in Collections:	[math] Periodical Articles

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