activity
20092026
most citedMathematical and physical aspects of complex symmetric operators

149 citations · 319 across the 56 of their papers we have counts for

collaborators
Showing 2011Show all

5 papers · 1 filter

math.FA2011

Which weighted composition operators are complex symmetric?

Stephan Ramon Garcia, Christopher Hammond

Recent work by several authors has revealed the existence of many unexpected classes of normal weighted composition operators. On the other hand, it is known that every normal oper…

math.CV2011

Recent progress on truncated Toeplitz operators

Stephan Ramon Garcia, William T. Ross

This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in…

math.ST2011★ 78 cited

A method for generating realistic correlation matrices

Johanna Hardin, Stephan Ramon Garcia, David Golan

Simulating sample correlation matrices is important in many areas of statistics. Approaches such as generating Gaussian data and finding their sample correlation matrix or generati…

math.FA2011

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…

math.FA2011

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…