134 citations · 182 across the 9 of their papers we have counts for
10 papers
Quotients of Gaussian primes
Stephan Ramon Garcia
It has been observed many times, both in the Monthly and elsewhere, that the set of all quotients of prime numbers is dense in the positive real numbers. In this short note we answ…
Two remarks about nilpotent operators of order two
Stephan Ramon Garcia, Bob Lutz, Dan Timotin
We present two novel results about Hilbert space operators which are nilpotent of order two. First, we prove that such operators are indestructible complex symmetric operators, in…
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.…
Spatial isomorphisms of algebras of truncated Toeplitz operators
Stephan Ramon Garcia, William T. Ross, Warren R. Wogen
We examine when two maximal abelian algebras in the truncated Toeplitz operators are spatially isomorphic. This builds upon recent work of N. Sedlock, who obtained a complete descr…
Complex symmetric partial isometries
Stephan Ramon Garcia, Warren R. Wogen
An operator $T \in B(\h)$ is complex symmetric if there exists a conjugate-linear, isometric involution $C:\h\to\h$ so that . We provide a concrete description of all co…