The Shirali–Ford theorem as a consequence of Ptak theory for hermitian Banach algebras

Volume 150 / 2002

Maria Fragoulopoulou Studia Mathematica 150 (2002), 121-132 MSC: Primary 46K05, 46H05; Secondary 46L05. DOI: 10.4064/sm150-2-2


A simple application of Pták theory for hermitian Banach algebras, combined with a result on normed $Q$-algebras, gives a non-technical new proof of the Shirali–Ford theorem. A version of this theorem in the setting of non-normed topological algebras is also provided.


  • Maria FragoulopoulouDepartment of Mathematics
    University of Athens
    Athens 15784, Greece

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