Stephan Ramon Garcia

most citedComplex symmetric partial isometries

134 citations · 135 across the 4 of their papers we have counts for

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math.FA2009★ 134 cited

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 $T = C T^{*} C$ . We provide a concrete description of all co…

math.FA2009

Some new classes of complex symmetric operators

Stephan Ramon Garcia, Warren R. Wogen

We say that an operator $T \in B (H)$ is complex symmetric if there exists a conjugate-linear, isometric involution $C : H \to H$ so that $T = C T^{*} C$ . We prove that binormal operators,…

math.FA2009★ 1 cited

The Norm of a Truncated Toeplitz Operator

Stephan Ramon Garcia, William T. Ross

We prove several lower bounds for the norm of a truncated Toeplitz operator and obtain a curious relationship between the $H^{2}$ and $H^{\infty}$ norms of functions in model spaces.

math.FA2009

Truncated Toeplitz Operators: Spatial Isomorphism, Unitary Equivalence, and Similarity

Joseph A. Cima, Stephan Ramon Garcia, William T. Ross +1

A truncated Toeplitz operator is the compression $A_ϕ:\K_Θ \to \K_Θ$ of a Toeplitz operator $T_{ϕ} : H^{2} \to H^{2}$ to a model space $\K_Θ := H^2 \ominus ΘH^2$. For $Θ$ inner, let $\T_Θ$…