In this paper we define a generalized inner product on an arbitrary normed linear space and use this generalized inner product to characterize inner product spaces in the class of all normed linear ...

Given 𝑝, 𝑞 ∈ ℝ, we generalize the classical Dunkl—Williams inequality for 𝑝-angular and 𝑞-angular distances in inner product spaces. We extend the Hile inequality for arbitrary 𝑝-angular and ...

Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms ...