Closed convex hulls of unitary orbits in von Neumann algebras
Closed convex hulls of unitary orbits in von Neumann algebras
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper M"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi class="MJX-tex-caligraphic" mathvariant="script">M</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathcal {M}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a von Neumann algebra. The distance <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d i s t left-parenthesis x comma c o script upper U left-parenthesis y right-parenthesis right-parenthesis"> <mml:semantics> <mml:mrow> …