Prox-Regularity of Spectral Functions and Spectral Sets
نویسندگان
چکیده
Important properties such as differentiability and convexity of symmetric functions in Rn can be transferred to the corresponding spectral functions and vice-versa. Continuing to built on this line of research, we hereby prove that a spectral function F : Sn → R ∪ {+∞} is prox-regular if and only if the underlying symmetric function f : Rn → R ∪ {+∞} is prox-regular. Relevant properties of symmetric sets are also discussed.
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