Grothendieck inequality
id:
grothendieck-inequality-180-7443142
title:
Grothendieck inequality
text:
In mathematics, the Grothendieck inequality states that there is a universal constant K G with the following property. If Mij is an n × n (real or complex) matrix with
- | ∑ i, j M i j s i t j | ≤ 1 for all (real or complex) numbers si, tj of absolute value at most 1, then
- | ∑ i, j M i j ⟨ S i, T j ⟩ | ≤ K G for all vectors Si, Tj in the unit ball B(H) of a (real or complex) Hilbert space H, the constant K G being independent of n. For a fixed Hilbert space of dimension d, the smallest con
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wiki
category slug:
encyclopedia
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original url:
https://en.wikipedia.org/wiki/Grothendieck_inequality
date created:
2007-02-09T00:56:29Z
date modified:
2024-09-05T07:34:25Z
main entity:
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13
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14