Banach algebras with involution
Pták, V.
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Pták, V.
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Rajendra Bhatia, Driss Drissi (1999)
Studia Mathematica
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Two well-known theorems for Hermitian elements in C*-algebras are extended to Banach algebras. The first concerns the solution of the equation ax - xb = y, and the second gives sharp bounds for the distance between spectra of a and b when a, b are Hermitian.
Maria Fragoulopoulou (2002)
Studia Mathematica
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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.
Nguyen Quoc Thang (1993)
Manuscripta mathematica
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Mircea Martin (1984/85)
Mathematische Zeitschrift
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Groß, Jürgen (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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