19 citations · 109 across the 18 of their papers we have counts for
20 papers
Purely infinite corona algebras
Victor Kaftal, P. W. Ng, Shuang Zhang
Let A be a simple, sigma-unital, non-unital C*-algebra, with metrizable tracial simplex T(A), which is projection-surjective and injective and has strict comparison of positive ele…
Admissible sequences for positive operators
Victor Kaftal, David Larson
A sequence of scalars is said to be admissible for a positive operator A on a Hilbert space if it is the diagonal of VAV* for some partial isometry V having as domain the closure o…
The minimal ideal in multiplier algebras
Victor Kaftal, P. W. Ng, Shuang Zhang
Let be a simple, -unital, non-unital, non-elementary C*-algebra and let be the intersection of all the ideals of that properly co…
Kadison's Pythagorean Theorem and essential codimension
Victor Kaftal, Jireh Loreaux
Kadison's Pythagorean theorem (2002) provides a characterization of the diagonals of projections with a subtle integrality condition. Arveson (2007), Kaftal, Ng, Zhang (2009), and…
Sums of equivalent sequences of positive operators in von Neumann factors
Catalin Dragan, Victor Kaftal
Let A be a positive operator in an infinite sigma-finite von Neumann factor M and let B_j be a sequence of positive elements in M. We give sufficient conditions for decomposing A i…
Strict comparison of positive elements in multiplier algebras
Victor Kaftal, Ping Ng, Shuang Zhang
Main result: If a C*-algebra is simple, -unital, has finitely many extremal traces, and has strict comparison of positive elements by traces, then its multiplier also has strict…