Restricted Schur multipliers and their applications

Oikhberg, Timur

doi:10.1090/S0002-9939-10-10203-2

Restricted Schur multipliers and their applications
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by Timur Oikhberg PDF

Proc. Amer. Math. Soc. 138 (2010), 1739-1750 Request permission

Abstract:

We compute the norm of the restriction of a Schur multiplier, arising from a multiplication operator, to a coordinate subspace. This result is used to generalize Wielandt’s minimax inequality. Furthermore, we compute various $s$-numbers of an elementary Schur multiplier and determine criteria for membership of such multipliers in certain operator ideals.

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