Abstract
Generalized B* -algebras are locally convex*-algebras which are generalizations of C* -algebras. We obtain results on unbounded derivations of commutative generalized B*-algebras (GB*-algebras for short) by borrowing some techniques from commutative algebra. We then give an example of a commutative GB* -algebra having a nonzero derivation. Lastly, we also prove that every derivation of a GB*-algebra, with underlying C*-algebra a W*- algebra, is inner.
Mathematics Subject Classification (2010). 46H05, 46H25, 46H35, 46H40, 46K05, 46L05, 46L10
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© 2015 Springer International Publishing Switzerland
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Weigt, M., Zarakas, I. (2015). Unbounded Derivations of GB*-algebras. In: Bhattacharyya, T., Dritschel, M. (eds) Operator Algebras and Mathematical Physics. Operator Theory: Advances and Applications, vol 247. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18182-0_4
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DOI: https://doi.org/10.1007/978-3-319-18182-0_4
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-18181-3
Online ISBN: 978-3-319-18182-0
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