activity
20092026
most citedUnitary equivalence of a matrix to its transpose

29 citations · 119 across the 22 of their papers we have counts for

collaborators
Showing math.FAShow all

6 papers · 1 filter

math.FA2025

Integrating positive energy representations of the Virasoro algebra

André G. Henriques, James E. Tener

We show that every unitary positive energy representation W of the Virasoro algebra exponentiates to a holomorphic *-representation of the semigroup of annuli by bounded operators…

math.FA2016

Singular values of weighted composition operators and second quantization

Mihai Putinar, James E. Tener

We study a semigroup of weighted composition operators on the Hardy space of the disk , and more generally on the Hardy space attached to a simply connect…

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…

math.FA2009

Unitary equivalence to a complex symmetric matrix: an algorithm

James E. Tener

We present a necessary and sufficient condition for a 3 by 3 matrix to be unitarily equivalent to a symmetric matrix with complex entries, and an algorithm whereby an arbitrary 3 b…

math.FA2009★ 29 cited

Unitary equivalence of a matrix to its transpose

Stephan Ramon Garcia, James E. Tener

Motivated by a problem of Halmos, we obtain a canonical decomposition for complex matrices which are unitarily equivalent to their transpose (UET). Surprisingly, the naive assertio…

math.FA2009★ 1 cited

Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames

Julien Giol, Leonid V. Kovalev, David Larson +2

We investigate the topological and metric structure of the set of idempotent operators and projections which have prescribed diagonal entries with respect to a fixed orthonormal ba…