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  "body": "\n## Summary\n\nThe graph of an operator $T$ from $X$ to $Y$ is the set of pairs $(x, Tx)$ with $x$ in the domain of $T$.\nIt is a linear subspace of $X \\times Y$, and it determines the operator completely, domain included.\nTopological properties of the graph, such as being closed, replace boundedness in the theory of unbounded operators.\n\n## Explanations\n\n### L1 human\n\nFor a function of one real variable, the graph is the curve of points $(x, f(x))$ in the plane.\nThe graph of an operator is the same picture in the product space $X \\times Y$.\nFor example, the graph of $x \\mapsto 2x$ on $\\R$ is the line $y = 2x$ in $\\R^2$.\nBecause operators are linear, their graphs are always flat subspaces through the origin.\n",
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