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Restricted Schur multipliers and their applications
Author(s):
Timur
Oikhberg
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1739-1750.
MSC (2000):
Primary 47B06, 47B10, 47B49, 47L20
Posted:
January 19, 2010
MathSciNet review:
2587459
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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  -numbers of an elementary Schur multiplier and determine criteria for membership of such multipliers in certain operator ideals.
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Additional Information:
Timur
Oikhberg
Affiliation:
Department of Mathematics, University of California - Irvine, Irvine, California 92697 - and - Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
Email:
toikhber@math.uci.edu
DOI:
10.1090/S0002-9939-10-10203-2
PII:
S 0002-9939(10)10203-2
Keywords:
Schur product,
elementary operators,
minimax inequalities,
$s$-numbers,
operator ideals
Received by editor(s):
May 3, 2009,
Received by editor(s) in revised form:
September 2, 2009
Posted:
January 19, 2010
Additional Notes:
The author is grateful to I. Todorov for many stimulating conversations
Communicated by:
Nigel J. Kalton
Copyright of article:
Copyright
2010,
American Mathematical Society
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