Abstract
We give a general version of the weak spectral mapping theorem for non-quasianalytic representations of locally compact abelian groups which are weakly continuous in the sense of Arveson, based on a Banach algebra approach.
Dedicated to Charles Batty on the occasion of his sixtieth birthday
Mathematics Subject Classification (2010). Primary 47A16; Secondary 47D03,46J40, 46H20
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© 2015 Springer International Publishing Switzerland
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Esterle, J., Fašangová, E. (2015). A Banach Algebra Approach to the Weak Spectral Mapping Theorem for Locally Compact Abelian Groups. In: Arendt, W., Chill, R., Tomilov, Y. (eds) Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics. Operator Theory: Advances and Applications, vol 250. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18494-4_11
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DOI: https://doi.org/10.1007/978-3-319-18494-4_11
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-18493-7
Online ISBN: 978-3-319-18494-4
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