Non-commutative Hardy inequalities
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Non-commutative Hardy inequalities. / Hansen, Frank.
I: Bulletin of the London Mathematical Society, Bind 41, Nr. 6, 2009, s. 1009-1016.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Non-commutative Hardy inequalities
AU - Hansen, Frank
PY - 2009
Y1 - 2009
N2 - We extend Hardy's inequality from sequences of non-negative numbers to sequences of positive semi-definite operators if the parameter p satisfies 1 < p 2, and to operators under a trace for arbitrary p > 1. Applications to trace functions are given. We introduce the tracial geometric mean and generalize Carleman's inequality.
AB - We extend Hardy's inequality from sequences of non-negative numbers to sequences of positive semi-definite operators if the parameter p satisfies 1 < p 2, and to operators under a trace for arbitrary p > 1. Applications to trace functions are given. We introduce the tracial geometric mean and generalize Carleman's inequality.
U2 - 10.1112/blms/bdp078
DO - 10.1112/blms/bdp078
M3 - Journal article
VL - 41
SP - 1009
EP - 1016
JO - Bulletin of the London Mathematical Society
JF - Bulletin of the London Mathematical Society
SN - 0024-6093
IS - 6
ER -
ID: 16330819