A Notion of Angle using a 2-Semi-inner Product on the Space of p-Summable Sequences

Abstract

We introduce a 2-semi-inner product on the space of p-summable sequences. Using this 2-semi-inner product, we define the h_p-orthogonality and the h_p-angle between two vectors and discuss their properties. Moreover, we formulate the h_p-angle between two 2-dimensional subspaces that intersects a 1-dimensional subspace. Using this formula, we construct the space of p-summable sequences as a strictly convex 2-normed space.

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