Skip to main content
3 of 5
edited body
Ali Taghavi
  • 356
  • 8
  • 31
  • 123

On solvability of equation $D(x)=1$ where $D:A\to A$ is a bounded outer derivation on a $C^*$ algebra

Let $A$ be a unital $C^*$ algebra. Assume that $D:A\to A$ is a bonded derivation.

Can one say that $1$ can not be in the image of $D$?

If the answer is no:

What is a counter example? What kind of $C^*$ algebra admits outer bounded derivation but stil they satisfy the above prevent property?

Ali Taghavi
  • 356
  • 8
  • 31
  • 123