Open AccessOn extension of bi-derivations to the bidual of Banach algebras
Author(s) -
Attar Erfanian,
Sedigheh Barootkoob,
Vishki Ebrahimi
Publication year - 2016
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1608261e
Subject(s) - mathematics , banach algebra , extension (predicate logic) , pure mathematics , algebra over a field , banach space , computer science , programming language
We present some necessary and sufficient conditions such that the (Arens) extensions of a bi-derivation on Banach algebras are again bi-derivations. We then examine our results for some Banach algebras. In particular, we show that the (Arens) extensions of a bi-derivation on C∗−algebras are biderivations. Some results on extensions of an inner bi-derivation are also included.
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