Traces on Operator Ideals and Arithmetic Means

  title={Traces on Operator Ideals and Arithmetic Means},
  author={Victor Kaftal and Gary Weiss},
This article investigates the codimension of commutator spaces [I, B(H)] of operator ideals on a separable Hilbert space, i.e., “How many traces can an ideal support?” We conjecture that the codimension can be only zero, one, or infinity. Using the arithmetic mean (am) operations on ideals introduced in [13] and the analogous arithmetic mean operations at… CONTINUE READING