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The Chain Rule Inequality and its Perturbations

In: Operator Relations Characterizing Derivatives

Author

Listed:
  • Hermann König

    (Universität Kiel, Mathematisches Seminar)

  • Vitali Milman

    (University of Tel Aviv, School of Mathematical Sciences)

Abstract

In the previous chapter we showed that the chain rule operator equation shows a remarkable stability and rigidity, under modifications of operators or additive perturbations. In this chapter we study a different modification of the chain rule, replacing equalities by inequalities.

Suggested Citation

  • Hermann König & Vitali Milman, 2018. "The Chain Rule Inequality and its Perturbations," Springer Books, in: Operator Relations Characterizing Derivatives, chapter 0, pages 91-112, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-00241-1_6
    DOI: 10.1007/978-3-030-00241-1_6
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