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Lifting sets and the Calkin algebra
Published online by Cambridge University Press: 18 May 2009
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H will denote a Hilbert space of infinite dimension, ℬ(H) the algebra of bounded linear operators on H, and ℛ(H) the ideal of compact operators on H. We let σ, σe and σω denote the spectrum, essential spectrum and Weyl spectrum respectively. It is well known that for arbitrary T ∈ ℬ(H) we have by [5]
and
and
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- Copyright © Glasgow Mathematical Journal Trust 1982
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