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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1739-1750 |
| Number of pages | 12 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 138 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2010 |
Keywords
- Elementary operators
- Minimax inequalities
- Operator ideals
- S- numbers
- Schur product
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
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