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The distance to upper triangular operators

Published online by Cambridge University Press:  24 October 2008

S. C. Power
S. C. Power
Affiliation:
University of Lancaster
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Extract

We show how a generalization of a distance formula of W. Arveson(1) may be derived from an elementary but ingenious special case, due to S. Parrot(2), involving 2 × 2 matrices.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 88 , Issue 2 , September 1980 , pp. 327 - 329
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

REFERENCES

(1)Arveson, W.Interpolation problems in nest algebras. J. Functional Anal. 20 (1975), 208–233.CrossRefGoogle Scholar
(2)Parrot, S.On a quotient norm and the Sz-Nagy-Foias lifting theorem. J. Functional Anal 30 (1978), 311–328.CrossRefGoogle Scholar