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THE CAUCHY–SCHWARZ NORM INEQUALITY FOR ELEMENTARY OPERATORS IN SCHATTEN IDEALS

Published online by Cambridge University Press:  01 December 1999

DANKO R. JOCIĆ
DANKO R. JOCIĆ
Affiliation:
Faculty of Mathematics, University of Belgrade, Studentski trg 16, PP 550, 11000 Belgrade, Serbia (Yugoslavia); [email protected]
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Abstract

For bounded Hilbert space operators X, An and Bn, n = 1, 2, …,

formula here

for all 1 [les ] p < ∞ and

formula here

These inequalities involve some estimates for the norm of elementary operators with the range contained in the Schatten p-ideals.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 60 , Issue 3 , December 1999 , pp. 925 - 934
Copyright
The London Mathematical Society 1999

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