This is an announcement for the paper "The spectral mapping theorem" by Narinder S Claire.

Abstract: We prove the Spectral Mapping Theorem for the Helffer-Sj"ostrand functional calculus for linear operators on Banach spaces with real spectra and consequently give a new proof for the Spectral Mapping Theorem for self-adjoint operators on Hilbert spaces.

Archive classification: math.SP math.FA

Mathematics Subject Classification: 47A60

Remarks: latex 12 pages

The source file(s), integral.eps: 33099 bytes

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1001.0232

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http://arXiv.org/abs/1001.0232

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