The classical inequalities of Clarkson for the Lebesgue space Lp and their non-commutative analogues for the Schatten trace ideals  Cp play an important role in analysis, operator theory and mathematical physics.  In this talk, we introduce the development of Clarkson Inequalities and obtain extensions of these inequalities for n-Tuples of operators by employing various techniques such as convexity and concavity of certain functions, including the power functions.

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