Spectral Mapping Theorem for the Davies-Helffer-Sjöstrand Functional Calculus

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2012
• Main Author: Claire, N.S.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106720
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Spectral Mapping Theorem for the Davies-Helffer-Sjöstrand Functional Calculus / N.S. Claire // Журнал математической физики, анализа, геометрии. — 2012. — Т. 8, № 3. — С. 221-239. — Бібліогр.: 8 назв. — англ.

We give a direct non-abstract proof of the spectral mapping theorem for the Davies–Helffer–Sjöstrand functional calculus for linear operators on Banach spaces with real spectra and consequently give a new non-abstract direct proof for the spectral mapping theorem for self-adjoint operators on Hilber...