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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.
Hernández, Vicente, and Jódar, Lucas. "Sobre la ecuación cuadrática en operadores A + BT +TC + TDT = 0.." Stochastica 7.2 (1983): 145-154. <http://eudml.org/doc/38892>.
@article{Hernández1983, author = {Hernández, Vicente, Jódar, Lucas}, journal = {Stochastica}, keywords = {Operadores; Ecuación cuadrática; Espacios de Banach; generalized algebraic Riccati operator equation; annihilating analytic functions of operators; bilateral quadratic operator equation; unilateral linear operator equation}, language = {spa}, number = {2}, pages = {145-154}, title = {Sobre la ecuación cuadrática en operadores A + BT +TC + TDT = 0.}, url = {http://eudml.org/doc/38892}, volume = {7}, year = {1983}, }
TY - JOUR AU - Hernández, Vicente AU - Jódar, Lucas TI - Sobre la ecuación cuadrática en operadores A + BT +TC + TDT = 0. JO - Stochastica PY - 1983 VL - 7 IS - 2 SP - 145 EP - 154 LA - spa KW - Operadores; Ecuación cuadrática; Espacios de Banach; generalized algebraic Riccati operator equation; annihilating analytic functions of operators; bilateral quadratic operator equation; unilateral linear operator equation UR - http://eudml.org/doc/38892 ER -