Inner Product Space November 11, 2023 October 16, 2025 A vector space equipped with an inner product is called inner product space. Remarks Every inner product space is a normed space. The dual \(V^*\) is an inner product space. See also Link to heading canonical map from \(V\) into \(V^*\) Hilbert space Cauchy-Schwartz inequality Structures involving orthogonality Link to heading orthogonal vectors orthogonal complement orthonormal system orthonormal basis