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Existence of a bounded function of the maximal spectral type

Published online by Cambridge University Press:  19 September 2008

V. M. Alexeyev
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Let us denote by the Hilbert space of all functions on the measure space Ω, square-integrable with respect to the measure μ.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 3-4 , December 1982 , pp. 259 - 261
Copyright
Copyright © Cambridge University Press 1982

References

REFERENCES

[1]Plesner, A. I. & Rochlin, V. A.. Spectral theory of linear operators, II. Uspehi Mat. Nauk 1 No. 1 (1946). (In Russian.)Google Scholar
[2]Halmos, P. R.. Introduction to Hilbert Spaces and the Theory of Spectral Multiplicity. New York Chelsea Publ. Co.: New York, 1951.Google Scholar