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Famous Naimark-Han-Larson dilation theorem for frames in Hilbert spacesstates that every frame for a separable Hilbert space $\mathcal{H}$ is image ofa Riesz basis under an orthogonal projection from a separable Hilbert space$\mathcal{H}_1$ which contains $\mathcal{H}$ isometrically. In this paper, wederive dilation result for p-approximate Schauder frames for separable Banachspaces. Our result contains Naimark-Han-Larson dilation theorem as a particularcase.

Dilation theorem for p-approximate Schauder frames for separable Banach spaces