Let \(X,Y\) be normed spaces . A continuous linear map between \(X\) and \(Y\) is called bounded operator.

The space of bounded operators between \(X\) and \(Y\) is denoted by \(\mathcal{L}(X,Y)\). With the operator norm it is a normed vector space .

See also Link to heading

• compact operator
• linear isomorphism
• linear isometry
• adjoint operator