149 citations · 319 across the 56 of their papers we have counts for
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Norms on complex matrices induced by random vectors II: extension of weakly unitarily invariant norms
Ángel Chávez, Stephan Ramon Garcia, Jackson Hurley
We improve and expand in two directions the theory of norms on complex matrices induced by random vectors. We first provide a simple proof of the classification of weakly unitarily…
Symmetric tensor powers of graphs
Weymar Astaiza, Alexander J. Barrios, Henry Chimal-Dzul +5
The symmetric tensor power of graphs is introduced and its fundamental properties are explored. A wide range of intriguing phenomena occur when one considers symmetric tensor power…
Symmetric and Antisymmetric Tensor Products for the Function-Theoretic Operator Theorist
Stephan Ramon Garcia, Ryan O'Loughlin, Jiahui Yu
We study symmetric and antisymmetric tensor products of Hilbert-space operators, focusing on norms and spectra for some well-known classes favored by function-theoretic operator th…
The Reciprocal Schur Inequality
Albrecht Boettcher, Stephan Ramon Garcia, Mishko Mitkovski
Schur's inequality states that the sum of three special terms is always nonnegative. This note is a short review of inequalities for the sum of the reciprocals of these terms and o…
The strongly Leibniz property and the Gromov--Hausdorff propinquity
Konrad Aguilar, Stephan Ramon Garcia, Elena Kim +1
We construct a new version of the dual Gromov--Hausdorff propinquity that is sensitive to the strongly Leibniz property. In particular, this new distance is complete on the class o…