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Aluthge Transformation Numerical Range Analysis by toyomed220 is a document available to read on EtoBox.
This paper discusses the numerical range of the Aluthge transformation, defined as T* = |T|^{1/2} U |T|^{1/2}, and presents several results including that the numerical range of T is a superset of that of T*. It establishes properties related to the numerical radius and spectraloid operators, showing that w(T) ≤ w(T*) and providing conditions under which W(T) ⊃ W(T*). The paper concludes with applications of these results, particularly in characterizing spectraloid operators.
- Author
- toyomed220
- Language
- EN