Full Length Research Paper
Abstract
Let T be a contraction on a complex Hilbert space H, let 
be the local spectrum of 
at 
, and let 
be the local unitary spectrum of T at ;
. We show that if is of Lebesgue measure zero, then
, where 
is the unitary part of 
in the canonical decomposition of H with respect to T.
Key words: Hilbert space, contraction, local spectrum.
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