Titlebook: Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology; Ronald G. Douglas Me Raul E Curto,William Helton,Guol

吹牛大王

The Extended Aluthge Transform,that the spherical Aluthge transform of a commuting pair of operators corresponds to the extended Aluthge transform of a 2 × 2 operator matrix built from the pair; thus, the theory of extended Aluthge transforms yields results for spherical Aluthge transforms.

迎合

GONG

calamity

Nevanlinna-Pick Families and Singular Rational Varieties,ely many points. Letting . be the weak-∗ closure of . in .—the multiplier algebra of the Drury-Arveson space. We provide a parametrization for the Nevanlinna-Pick family of . for . ≥ 1. In particular, when . = 1 the parameter space for the Nevanlinna-Pick family is the Picard group of ..

CLAIM

Solace

Uniform Roe Algebras and Geometric RD Property,t is a smooth and dense subalgebra of the uniform Roe algebra of the space .. This resulted an alternate proof of a result of the first named author on the nonexistence of positive scalar curvature on certain manifolds.

FIN

Singular Subgroups in ,-Groups and Their von Neumann Algebras,p containing a loxodromic element, then . < . is singular. Finally, we present (counter)examples to show both situations happen concerning maximal amenability of . inside . if . does not contain loxodromic elements.

吹气

SPALL

Cupping

Cauchy-Riemann Equations for Free Noncommutative Functions,e context of Löwner’s theorem in several noncommutative variables. Additionally, as part of our investigation of real noncommutative functions, we show that real noncommutative functions are in fact noncommutative functions.