25 citations · 73 across the 17 of their papers we have counts for
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Free extreme points span generalized free spectrahedra given by compact coefficients
Eric Evert
Matrix convexity generalizes convexity to the dimension free setting and has connections to many mathematical and applied pursuits including operator theory, quantum information, n…
Arveson extreme points span free spectrahedra
Eric Evert, J. William Helton
Let denote -tuples of real symmetric matrices. Given tuples and $Y=(Y_1, \dots, Y_g) \in SM_{…
Matrix Convex Sets Without Absolute Extreme Points
Eric Evert
This article shows the existence of a class of closed bounded matrix convex sets which do not have absolute extreme points. The sets we consider are noncommutative sets, , for…
Extreme points of matrix convex sets, free spectrahedra and dilation theory
Eric Evert, J. William Helton, Igor Klep +1
For matrix convex sets a unified geometric interpretation of notions of extreme points and of Arveson boundary points is given. These notions include, in increasing order of streng…
Circular Free Spectrahedra
Eric Evert, J. William Helton, Igor Klep +1
This paper considers matrix convex sets invariant under several types of rotations. It is known that matrix convex sets that are free semialgebraic are solution sets of Linear Matr…