149 citations · 319 across the 56 of their papers we have counts for
Showing 2009Show all
3 papers · 1 filter
math.FA2009★ 17 cited
The norm and modulus of a Foguel operator
Stephan Ramon Garcia
We develop a method for calculating the norm and the spectrum of the modulus of a Foguel operator. In many cases, the norm can be computed exactly. In others, sharp upper bounds ar…
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★ 7 cited
Unitary equivalence to a complex symmetric matrix: geometric criteria
Stephan Ramon Garcia, Levon Balayan
We develop several methods, based on the geometric relationship between the eigenspaces of a matrix and its adjoint, for determining whether a square matrix having distinct eigenva…