Defines real decomposable maps on real operator systems, uncovers a new term in their decomposition that forms a novel class of maps, and verifies real analogs of known results on weak expectation property and injectivity.
Noncommutative Cho quet theory
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
representative citing papers
Initiates theory of real nc convex sets with foundational structural results for real operator systems and introduces complexification of nc convex sets.
A general lifting framework called the royal road theorem shows that automatic analyticity, monotonicity, and convexity results in multiple noncommuting variables follow from the one-variable case, with applications to noncommutative Löwner and Kraus theorems over operator systems.
Abstract characterizations of matrix convex sets via universal base-norm spaces yield dual characterizations of operator systems and refinements of convex-set regularity.
citing papers explorer
-
Real decomposable maps on operator systems
Defines real decomposable maps on real operator systems, uncovers a new term in their decomposition that forms a novel class of maps, and verifies real analogs of known results on weak expectation property and injectivity.
-
Real Non-Commutative Convexity I
Initiates theory of real nc convex sets with foundational structural results for real operator systems and introduces complexification of nc convex sets.
-
The royal road to automatic noncommutative real analyticity, monotonicity, and convexity
A general lifting framework called the royal road theorem shows that automatic analyticity, monotonicity, and convexity results in multiple noncommuting variables follow from the one-variable case, with applications to noncommutative Löwner and Kraus theorems over operator systems.
-
Compact convex sets and bases--classical and noncommutative
Abstract characterizations of matrix convex sets via universal base-norm spaces yield dual characterizations of operator systems and refinements of convex-set regularity.