Prefer a chat interface with context about you and your work?
On the polar decomposition of the Duggal transformation and related results
Let T = U|T | be the polar decomposition of a bounded operator T on a Hilbert space.The transformation Δ(T ) = |T | 1/2 U |T | 1/2 is called the Aluthge transformation, and Γ(T ) = |T |U is called the Duggal transformation of T. We discuss Aluthge …