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Topics in Modern Operator Theory pp 259–268Cite as

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Derivations of C*-Algebras which Are Invariant Under an Automorphism Group

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 2))

Abstract

Let A be an algebra. By a derivation of A we mean a linear mapping δ:D(δ)→A (D(δ) being a subalgebra of A) such that δ(ab) = =aδ(b)+δ(a)b for all a,bεD(δ). A derivation δ of A is said to be inner if there exists aOεA such that δ(a)=aOa−aaO (=ad(aO) (a)) for all aεD(δ). If A is a *-algebra, a derivation δ:D(δ)→A is called symmetric if a) D(δ) is a *-subalgebra of A, and b)δ (a*)=δ(a)* for all aεD(δ).

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References

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Authors and Affiliations

  1. Department of Mathematics, INCREST, Bdul Păcii 220, 79622, Bucharest, Romania

    Costel Peligrad

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  1. Costel Peligrad
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Editors and Affiliations

  1. Department of Mathematics, INCREST, Bd. Pacii 220, 79622, Bucharest, Romania

    C. Apostol , R. G. Douglas , B. Sz.- Nagy , D. Voiculescu  & Gr. Arsene , , ,  & 

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© 1981 Springer Basel AG

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Peligrad, C. (1981). Derivations of C*-Algebras which Are Invariant Under an Automorphism Group. In: Apostol, C., Douglas, R.G., Nagy, B.S., Voiculescu, D., Arsene, G. (eds) Topics in Modern Operator Theory. Operator Theory: Advances and Applications, vol 2. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5456-6_16

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  • DOI: https://doi.org/10.1007/978-3-0348-5456-6_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1244-2

  • Online ISBN: 978-3-0348-5456-6

  • eBook Packages: Springer Book Archive

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