18 citations · 54 across the 7 of their papers we have counts for
5 papers · 1 filter
Operator valued frames
Victor Kaftal, David Larson, Shuang Zhang
We develop a natural generalization of vector-valued frame theory, we term operator-valued frame theory, using operator-algebraic methods. This extends work of the second author an…
A survey on the interplay between arithmetic mean ideals, traces, lattices of operator ideals, and an infinite Schur-Horn majorization theorem
Victor Kaftal, Gary Weiss
The work of Dykema, Figiel, Weiss, and Wodzicki on the structure of commutators showed that arithmetic means play an important role in the study of operator ideals, and we explored…
Traces on operator ideals and arithmetic means
Victor Kaftal, Gary Weiss
This article - a part of a multipaper project investigating arithmetic mean ideals - investigates the codimension of commutator spaces [I, B(H)] of operator ideals on a separable H…
B(H) lattices, density and arithmetic mean ideals
Victor Kaftal, Gary Weiss
This part of a multi-paper project studies the lattice properties of the arithmetic mean ideals of B(H) introduced by Dykema, Figiel, Weiss, and Wodzicki. We prove: the lattices of…
Second order arithmetic means in operator ideals
Victor Kaftal, Gary Weiss
Equality of the second order arithmetic means of two principal ideals does not imply equality of their first order arithmetic means (second order equality cancellation). We provide…