Operator Exponentials

Mohammed Hichem Mortad
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Mohammed Hichem Mortad: University of Oran 1

Chapter Chapter 13 in Counterexamples in Operator Theory, 2022, pp 191-205 from Springer

Abstract: Abstract Let A ∈ B(H). It is known that the series ∑ n = 0 ∞ A n ∕ n ! $$\sum _{n=0}^{\infty }{A^n}/{n!}$$ converges absolutely in B(H), and hence it converges. This allows us to define e A (where A ∈ B(H)) without using all the theory of the functional calculus.

Date: 2022
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DOI: 10.1007/978-3-030-97814-3_13

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