Thomas Schlumprecht (source code)

= Thomas Schlumprecht
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<Thomas Schlumprecht> studies the theory of <Banach spaces>. His joint work with <Edward Odell> proved arbitrary distortion of infinite-dimensional <Hilbert space>.<The distortion problem by Edward Odell and Thomas Schlumprecht>[Original byline and introduction]{ref}

For each chosen distortion threshold, one constructs an equivalent norm whose variation cannot be avoided by passing to any infinite-dimensional subspace. The same threshold need not describe a single norm for every possible ratio: the norm is chosen after the desired ratio. This quantifier order is central to the result and to the notion of <bounded distortion of a Banach space>.<The distortion problem by Edward Odell and Thomas Schlumprecht>[Equation 1.1 and Remark 3.7]{ref}