Algebraic structures and linear maps form a cornerstone in modern mathematics, underpinning areas as diverse as abstract algebra and functional analysis. Algebraic structures such as groups, rings, ...

For Banach spaces X and Y, we show that every unital bijective invertibility preserving linear map between L(X) and L(Y) is a Jordan isomorphism. The same conclusion holds for maps between CI + K(X) ...

The aim of this paper is to show that there are no piecewise linear maps of type 2∞. For this purpose we use the fact that any piecewise monotone map of type 2∞ has an infinite ω-limit set which is a ...

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