5 papers
On the closure of the complex symmetric operators: compact operators and weighted shifts
Stephan Ramon Garcia, Daniel E. Poore
We study the closure of the set of all complex symmetric operators on a separable, infinite-dimensional, complex Hilbert space. Among other things, we prove that…
Unitary equivalence to a complex symmetric matrix: low dimensions
Stephan Ramon Garcia, Daniel E. Poore, James E. Tener
A matrix $T \in \M_n(\C)$ is \emph{UECSM} if it is unitarily equivalent to a complex symmetric (i.e., self-transpose) matrix. We develop several techniques for studying this proper…
On the norm closure problem for complex symmetric operators
Stephan Ramon Garcia, Daniel E. Poore
We prove that the set of all complex symmetric operators on a separable, infinite-dimensional Hilbert space is not norm closed.
Unitary equivalence to a truncated Toeplitz operator: analytic symbols
Stephan Ramon Garcia, Daniel E. Poore, William T. Ross
Unlike Toeplitz operators on , truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.…
Unitary equivalence to a complex symmetric matrix: a modulus criterion
Stephan Ramon Garcia, Daniel E. Poore, Madeline K. Wyse
We develop a procedure for determining whether a square complex matrix is unitarily equivalent to a complex symmetric (i.e., self-transpose) matrix. Our approach has several advant…