1303.7426 (Erik Christensen)

On the interpretation of [D,a] as an infinite matrix    [PDF]

Erik Christensen

For an unbounded self-adjoint operator D on a Hilbert space H and a bounded operator a on H we define the commutator [D,a] as an infinite matrix of bounded operators. This interpretation puts [D,a] into an algebraic setting where products and higher derivatives will make sense as infinite matrices of bounded operators. We characterize those operators a for which the matrix [D,a] is the matrix of a bounded operator.

View original: http://arxiv.org/abs/1303.7426