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Lifting sets and the Calkin algebra

Published online by Cambridge University Press:  18 May 2009

G. J. Murphy
G. J. Murphy
Affiliation:
School of Mathematics, Trinity College, Dublin
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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

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 23 , Issue 1 , January 1982 , pp. 83 - 84
Copyright
Copyright © Glasgow Mathematical Journal Trust 1982

References

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