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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

4 votes

Is there a name for this map induced by bilinear forms?

I don't know a specific name for that, but I would call it associated. I wouldn't call it induced, because the map $\text{Bil}(V) \to (V \otimes V)^*$ is one-to-one, since every linear $T \in (V\otime …
kostja's user avatar
  • 91
2 votes

Dual operators between Hilbert spaces: with or without Riesz representation

Like Mr Yuan suggested, call the first one 'dual' and write $f^\ast$ and the second one adjoint and write $f^\dagger$. Then a fairy simple calculation shows, that $f^\ast$ and $f^\dagger$ are closely …
kostja's user avatar
  • 91