Famous Naimark-Han-Larson dilation theorem for frames in Hilbert spaces states that every frame for a separable Hilbert space $\mathcal{ H}$ is image of a Riesz basis under an orthogonal projection from a separable Hilbert space $\mathcal{ H}_1$ which contains $\mathcal{ H}$ isometrically. In this paper, we derive dilation result for p-approximate Schauder frames for separable Banach spaces. Our result contains Naimark-Han-Larson dilation theorem as a particular case.
Categories: math.FA math.OA