# Category:Finite Rank Operators

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This category contains results about **finite rank operators**.

Let $H, K$ be Hilbert spaces.

Let $T: H \to K$ be a linear transformation.

Then $T$ is said to be a **finite rank operator**, or **of finite rank**, if and only if its range, $\Rng T$, is finite dimensional.

Note that a finite rank operator is not necessarily bounded.

## Pages in category "Finite Rank Operators"

The following 3 pages are in this category, out of 3 total.