A Pythagorean inequality
Let (v1, v2, v3,. ) be a sequence of elements of a Hilbert space, and suppose that (one or both of) the inequalities hold for every finite sequence of scalars (ai). If an element v0 is adjoined to (vi), then the resulting set satisfies (one or both of) where, denoting the norm of vo by r and its distance from the closed linear span of the vi by δ,. © 1995 American Mathematical Society.
Proceedings of the American Mathematical Society
A Pythagorean inequality.
Proceedings of the American Mathematical Society,
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9764