Notes on the Chernoff Product Formula
Valentin Zagrebnov (I2M)

TL;DR
This paper revises and extends the Chernoff product formula in a Hilbert space, achieving convergence in the operator-norm topology, with focus on self-adjoint and quasi-sectorial contractions.
Contribution
It provides a strengthened version of the Chernoff product formula with operator-norm convergence, expanding its applicability to self-adjoint and nonself-adjoint cases.
Findings
Achieved operator-norm convergence for the Chernoff product formula.
Extended the formula to quasi-sectorial contractions.
Provided new insights into the convergence behavior in Hilbert spaces.
Abstract
We revise the strong convergent Chernoff product formula and extend it, in a Hilbert space, to convergence in the operator-norm topology. Main results deal with the self-adjoint Chernoff product formula. The nonself-adjoint case concerns the quasi-sectorial contractions.
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