Simple multilinear algebras and hermitian operators

T. S. R. Fuad; Jon D. Phillips; Xiaorong Shen; Jonathan D. H. Smith

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Displaying similar documents to “Simple multilinear algebras and hermitian operators”

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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.

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

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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.