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Hermitian and adjoint abelian operators on certain Banach spaces

Hermitian and adjoint abelian operators on certain Banach spaces

Let X be a complex linear space endowed with a semiinner product [ , ].An operator A on X will be called Hermitian if [Ax, x] is real for all x 6 X; A is said to be adjoint abelian if [Ax, y] = [x, Ay] for all x and …