# Definition talk:Continuous Linear Transformation Space

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This is just $\map B {X, Y}$ surely? Though replacing $X$ and $Y$ with general topological vector space would make it worth having. Caliburn (talk) 11:50, 3 August 2022 (UTC)

- In principle, yes. My source firstly defines continuous linear transformations according to the standard notions of linearity and continuity and then uses Continuity of Linear Transformation between Normed Vector Spaces to conclude the bound property. All generalizations are welcome, but not on this page, please. This should remain anchored to the original source.--Julius (talk) 21:37, 3 August 2022 (UTC)