Linear maps, characterised by their preservation of vector addition and scalar multiplication, facilitate the transition between different spaces while maintaining intrinsic structural properties.

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) ...

He explains that borders are not a linear map or a two-dimensional picture—they exist underwater, in the air, over land, underground, and even in space and cyberspace. Listen to the podcast episode ...

We introduce the notion of (completely) multi-positive linear maps between C*-algebras, and show that a completely multi-positive linear map induces a representation of a C*-algebra on Hilbert ...

The ability to map numbers onto a line is universal. But for an Amazonian tribe, this mapping is not linear but logarithmic. The finding illuminates both the nature and the limits of the human ...

The Call of Duty: Modern Warfare 2 Battle Pass is now a multi-sector map and no longer a linear track, giving players more progress options.