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- W4387129369 abstract "Let X be an infinite-dimensional complex Banach space and let $$mathcal {B}(X)$$ denote the algebra of all bounded linear operators on X. For an operator $$T in mathcal {B}(X)$$ the sets $$sigma _{1}(T), sigma _{2}(T),$$ and $$sigma _{3}(T)$$ are called, respectively, the semi-Fredholm domain, the Fredholm domain, and the Weyl domain, of T in the spectrum, $$sigma (T)$$ . Given $$i in {1,2,3}$$ , the goal of this article is to describe the general form of all surjective maps $$phi $$ on $$mathcal {B}(X)$$ which satisfy $$begin{aligned} sigma _{i}(phi (A)phi (T) +phi (T)phi (A)) = sigma _{i}(AT + TA) end{aligned}$$ for all $$A, T in mathcal {B}(X)$$ ." @default.
- W4387129369 created "2023-09-29" @default.
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- W4387129369 date "2023-09-28" @default.
- W4387129369 modified "2023-10-18" @default.
- W4387129369 title "Maps preserving some spectral domains of Jordan product of operators" @default.
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- W4387129369 doi "https://doi.org/10.1007/s44146-023-00096-5" @default.
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