Edward Odell (source code)

= Edward Odell
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<Edward Odell> worked on the geometry of <Banach spaces>. With <Thomas Schlumprecht>, he solved the distortion problem for the classical infinite-dimensional <Hilbert space> by proving it arbitrarily distortable.<The distortion problem by Edward Odell and Thomas Schlumprecht>[Original byline and introduction]{ref}

An equivalent norm can preserve the underlying vector-space topology yet stretch unit vectors very differently inside every infinite-dimensional subspace. For any prescribed ratio greater than one, their construction forces such variation. This distinguishes topological equivalence of norms from uniform control of their geometry on large subspaces.<The distortion problem by Edward Odell and Thomas Schlumprecht>[Introduction, equation 1.1]{ref}