Operator-valued version of conditionally free product
... in order to study conditionally free convolution of operator-valued measures (see for example the papers of Bisgaard [Bi] and Schmüdgen [Sm] and the references given there). In particular we extend the boolean convolution of measures, studied by Speicher and Woroudi [SW], to operator-valued measure ...
... in order to study conditionally free convolution of operator-valued measures (see for example the papers of Bisgaard [Bi] and Schmüdgen [Sm] and the references given there). In particular we extend the boolean convolution of measures, studied by Speicher and Woroudi [SW], to operator-valued measure ...
Exam 2 Sol
... (a) By the method of cofactors, the determinant of the matrix A in the system Ax = 0 is 3(1 + a). Therefore the system has a unique solution provided a 6= −1. (b) If Det(A) 6= 0 the unique solution must be x = 0. (c) No values of a are inconsistent, the system is homogeneous. (d) ...
... (a) By the method of cofactors, the determinant of the matrix A in the system Ax = 0 is 3(1 + a). Therefore the system has a unique solution provided a 6= −1. (b) If Det(A) 6= 0 the unique solution must be x = 0. (c) No values of a are inconsistent, the system is homogeneous. (d) ...
Slides Set 2
... The Big Oh notation was introduced by the number theorist Paul Bachman in 1894. It perfectly matches ...
... The Big Oh notation was introduced by the number theorist Paul Bachman in 1894. It perfectly matches ...
(A - I n )x = 0
... hence rref(A - In) will have at least one zero row. A homogeneous linear system whose coefficient matrix has rref with at least one zero row will have a solution set with at least one free variable. The free variables can be chosen to have any value as long as the resulting solution is not the zero ...
... hence rref(A - In) will have at least one zero row. A homogeneous linear system whose coefficient matrix has rref with at least one zero row will have a solution set with at least one free variable. The free variables can be chosen to have any value as long as the resulting solution is not the zero ...
