Event Title
Sub-Jordan Operator Tuples
Location
Crow 206
Start Date
7-18-2016 5:30 PM
End Date
18-7-2016 5:50 PM
Description
In this talk we will discuss tuples of 3-isometric and 3-symmetric operators. These operators have connections with Sturm-Liouville theory and are natural generalizations of self-adjoint and isometric operators. We call an operator $J$ a Jordan operator of order $2$ if $J=A+N$, where $A$ is either unitary or self-adjoint, $N$ is nilpotent of order $2$, and $A$ commutes with $N$. As shown in the work of Agler, Ball and Helton, and joint work with McCullough, 3-symmetric and 3-isometric operators are the restriction of a Jordan operator to an invariant subspace. In this talk we discuss the extension of these theorems to the multi-variable case and an application to disconjugacy for Sch{\"o}dinger operators.
Sub-Jordan Operator Tuples
Crow 206
In this talk we will discuss tuples of 3-isometric and 3-symmetric operators. These operators have connections with Sturm-Liouville theory and are natural generalizations of self-adjoint and isometric operators. We call an operator $J$ a Jordan operator of order $2$ if $J=A+N$, where $A$ is either unitary or self-adjoint, $N$ is nilpotent of order $2$, and $A$ commutes with $N$. As shown in the work of Agler, Ball and Helton, and joint work with McCullough, 3-symmetric and 3-isometric operators are the restriction of a Jordan operator to an invariant subspace. In this talk we discuss the extension of these theorems to the multi-variable case and an application to disconjugacy for Sch{\"o}dinger operators.