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Clarkson Inequalities with Several Operators
Author(s) -
Bhatia Rajendra,
Kittaneh Fuad
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304003467
Subject(s) - mathematics , mathematics subject classification , inequality , trace (psycholinguistics) , pure mathematics , commutative property , algebra over a field , calculus (dental) , mathematical analysis , linguistics , medicine , philosophy , dentistry
Several inequalities for trace norms of sums of n operators with roots of unity coefficients are proved in this paper. When n = 2, these reduce to the classical Clarkson inequalities and their non‐commutative analogues. 2000 Mathematics Subject Classification 47A30, 46B20.