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 ...

Given an exponentiable Lie algebra L of operators on a Hilbert space H, we study the spectrum of those self-adjoint, non-adnilpotent operators -iA, with A in L, for a certain class of solvable Lie ...

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

ABSTRACT: We found in 2016 a few results on the conformal Killing operator in dimension n, in particular the changes of the orders of the successive compatibility conditions for n = 3, 4 or n≥ 5. They ...

Abstract: We consider the problem of recovering the initial data (or initial state) of infinite-dimensional linear systems generated by a perturbed skew-adjoint operator. It is well-known that this ...