Schur's lemma


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Schur's lemma

[′shürz ‚lem·ə]
(mathematics)
For certain types of modules M, the ring consisting of all homomorphisms of M to itself will be a division ring.
References in periodicals archive ?
In Claims 1 and 3 we bounded the size of the entries of a matrix by means of its [.sup.2] [right arrow] [l.sup.2] operator norm and controlled that norm by interpolating its [.sup.1] [right arrow] [l.sup.1] and [l.sup.[infinity]] [l.sup.[infinity]] norms (by Schur's lemma).