Category:Bounded Linear Transformations (Topological Vector Spaces)

This category contains results about bounded linear transformations in the context of Topological Vector Space.
Definitions specific to this category can be found in Definitions/Bounded Linear Transformations (Topological Vector Spaces).

Let $\GF \in \set {\R, \C}$.

Let $X$ and $Y$ be topological vector spaces over $\GF$.

Let $T : X \to Y$ be a linear transformation.

We say that $T$ is a bounded linear transformation if and only if:

for each von Neumann-bounded subset $E$ of $X$, $T \sqbrk E$ is von Neumann-bounded.