SPECTRAL THEORY AND FUNCTIONAL CALCULI IN THE REFLEXIVE BANACH SPACES
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Abstract
This article establishes the correspondence between the functional calculi for the operator defined on the
Banach spaces and the spectral decomposition. We show that there is a functional calculus on Borel
algebra for each well-bounded operator ABLX
, which uniquely corresponds with a multiplication
operator on some , , p L
.
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