It is shown that the direct integral decomposition of a non-self-adjoint operator algebra A has the diagonal A ∩ A* of this algebra as the algebra of diagonalizable operators if and only if almost all ...

Operator algebras and functional analysis form a foundational framework in modern mathematics, interlinking abstract algebraic structures with analytic techniques to study infinite‐dimensional spaces.

This is a preview. Log in through your library . Abstract It is shown that for any C*-algebra A of operators on a separable Hilbert space H, there is, for each self-adjoint operator x in the strong ...