Exponentials of bounded normal operators (Q2868726)
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scientific article; zbMATH DE number 6239344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponentials of bounded normal operators |
scientific article; zbMATH DE number 6239344 |
Statements
Exponentials of bounded normal operators (English)
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18 December 2013
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normal operators
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imaginary part of a linear operator
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operator exponentials
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commutativity
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spectrum
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Fuglede theorem
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Hilbert space
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Let \(A,B\) be bounded linear operators in a complex separable Hilbert space. It is well-known that \(AB=BA\implies e^Ae^B=e^{A+B}\). Some new conditions for normal operators \(A,B\) under which the reverse implication holds are given in this paper. This is a continuation of the research presented in [the second author, Colloq. Math. 125, No. 1, 1--6 (2011; Zbl 1259.47002)].
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