Displaying similar documents to “An algebraic characterization of complete inner product spaces.”

Perturbation theorems for Hermitian elements in Banach algebras

Rajendra Bhatia, Driss Drissi (1999)

Studia Mathematica


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.