What would you like to understand?

A sequence $(x_n)$ in a Hilbert space $H$ is strongly convergent to $l$ if the norm of the difference between $x_n$ and $l$ approaches zero as $n$ approaches infinity. This is denoted by $x_n \rightarrow l$.

Conditions: $H$ is a Hilbert space.; $(x_n)$ is a sequence in $H$.; $l$ is an element of $H$.

A sequence $(x_n)$ in a Hilbert space $H$ is strongly convergent to $l$ if the norm of the difference between $x_n$ and $l$ approaches zero as $n$ approaches infinity. This is denoted by $x_n \rightarrow l$.

Conditions: $H$ is a Hilbert space.; $(x_n)$ is a sequence in $H$.; $l$ is an element of $H$.