Putnam-Fuglede theorem and the range-kernel orthogonality of derivations.
Representations for the Drazin inverse of bounded operators on Banach space.
Simultaneous solutions of operator Sylvester equations
We consider simultaneous solutions of operator Sylvester equations (1 ≤ i ≤ k), where and are commuting k-tuples of bounded linear operators on Banach spaces and ℱ, respectively, and is a (compatible) k-tuple of bounded linear operators from ℱ to , and prove that if the joint Taylor spectra of and do not intersect, then this system of Sylvester equations has a unique simultaneous solution.
Sobre la ecuación cuadrática en operadores A + BT +TC + TDT = 0.
By means of the application of annihilating entire functions of an operator, the bilateral quadratic equation in operators A + BT +TC + TDT = 0, is changed into an unilateral linear equation, obtaining conditions under which the solutions of such linear equation satisfy the quadratic equation.
The additive approximation on a four-variate Jensen-type operator equation.
The Hilbert projective metric and an equation in a -algebra
The operator equation AX - XB = C with unbounded operators A and B and related abstract Cauchy problems.
Topological dual of with application to stochastic systems on Hilbert space
In this paper, we prove that the topological dual of the Banach space of bounded measurable functions with values in the space of nuclear operators, furnished with the natural topology, is isometrically isomorphic to the space of finitely additive linear operator-valued measures having bounded variation in a Banach space containing the space of bounded linear operators. This is then applied to a stochastic structural control problem. An optimal operator-valued measure, considered as the structural...
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