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.
Groß, Jürgen (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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T. S. R. Fuad, Jon D. Phillips, Xiaorong Shen, Jonathan D. H. Smith (2000)
Commentationes Mathematicae Universitatis Carolinae
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The paper studies multilinear algebras, known as comtrans algebras, that are determined by so-called -Hermitian matrices over an arbitrary field. The main result of this paper shows that the comtrans algebra of -dimensional -Hermitian matrices furnishes a simple comtrans algebra.
Pták, V.
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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.
Aloys Krieg (1991)
Mathematische Annalen
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Tekcan, A. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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