Every complete Pick space satisfies the column-row property
M Hartz - arXiv preprint arXiv:2005.09614, 2020 - arxiv.org
In the theory of complete Pick spaces, the column-row property has appeared in a variety of
contexts. We show that it is satisfied by every complete Pick space in the following strong …
contexts. We show that it is satisfied by every complete Pick space in the following strong …
Matrix extreme points and free extreme points of free spectrahedra
Free spectrahedra are dimension free solution sets to linear matrix inequalities of the form
LA (X)= I d⊗ I n+ A 1⊗ X 1+ A 2⊗ X 2+⋯+ A g⊗ X g⪰ 0, where the A i and X i are symmetric …
LA (X)= I d⊗ I n+ A 1⊗ X 1+ A 2⊗ X 2+⋯+ A g⊗ X g⪰ 0, where the A i and X i are symmetric …
Free extreme points span generalized free spectrahedra given by compact coefficients
E Evert - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
Matrix convexity generalizes convexity to the dimension free setting and has connections to
many mathematical and applied pursuits including operator theory, quantum information …
many mathematical and applied pursuits including operator theory, quantum information …
A brief introduction to noncommutative function theory
MT Jury - Lectures on Analytic Function Spaces and their …, 2023 - Springer
A Brief Introduction to Noncommutative Function Theory | SpringerLink Skip to main content
Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
Sub-Hardy Hilbert spaces in the non-commutative unit row-ball
MT Jury, RTW Martin - arXiv preprint arXiv:2204.05016, 2022 - arxiv.org
In the classical Hardy space theory of square-summable Taylor series in the complex unit
disk there is a circle of ideas connecting Szeg\" o's theorem, factorization of positive semi …
disk there is a circle of ideas connecting Szeg\" o's theorem, factorization of positive semi …
Hill representations for∗-linear matrix maps
S ter Horst, A van der Merwe - Indagationes Mathematicae, 2022 - Elsevier
Abstract In the paper (Hill, 1973) from 1973 RD Hill studied linear matrix maps L: ℂ q× q→ ℂ
n× n which map Hermitian matrices to Hermitian matrices, or equivalently, preserve adjoints …
n× n which map Hermitian matrices to Hermitian matrices, or equivalently, preserve adjoints …
Free Extreme points of free spectrahedrops and generalized free spectrahedra
E Evert - arXiv preprint arXiv:2302.07382, 2023 - arxiv.org
Matrix convexity generalizes convexity to the dimension free setting and has connections to
many mathematical and applied pursuits including operator theory, quantum information …
many mathematical and applied pursuits including operator theory, quantum information …
Noncommutative functions are weakly algebraic on operatorial polynomial polyhedra
ME Mancuso - arXiv preprint arXiv:2108.11356, 2021 - arxiv.org
An operatorial polynomial polyhedron is a set of the form $$ B_ {\delta}(\mathcal
{B}(\mathcal {H}))=\{X\in\mathcal {B}(\mathcal {H})^ d:\Vert\delta (X)\Vert< 1\} $$ where …
{B}(\mathcal {H}))=\{X\in\mathcal {B}(\mathcal {H})^ d:\Vert\delta (X)\Vert< 1\} $$ where …
Sub-Hardy-Hilbert Spaces in the Non-commutative Unit Row Ball
MT Jury, RTW Martin - Function Spaces, Theory and Applications, 2012 - Springer
In the classical Hardy space theory of square-summable Taylor series in the complex unit
disk, there is a circle of ideas connecting Szegö's theorem, factorization of positive semi …
disk, there is a circle of ideas connecting Szegö's theorem, factorization of positive semi …