On normal operator logarithms

Let X,Y be normal bounded operators on a Hilbert space such that e X=eY. If the spectra of X and Y are contained in the strip S of the complex plane defined by |I(z)|≤π, we show that |X|=|Y|. If Y is only assumed to be bounded, then |X|Y=Y|X|. We give a formula for X-Y in terms of spectral projectio...

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Guardado en:
Detalles Bibliográficos
Autor principal: Chiumiento, Eduardo Hernán
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Matemática
Exponential map
Normal operator
Spectral theorem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85121
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata

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