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Symmetrisable operators: Part II Operators in a Hilbert Space

Published online by Cambridge University Press:  09 April 2009

J. P. O. Silberstein
J. P. O. Silberstein
Affiliation:
Department of Mathematics, University of western Australia.
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In the first paper of this series [4] I gave a brief summary of the properties of symmetrisable operators in Hilbert Space. A detailed discussion of these properties will be given now, but the properties of operators symmetrisable by bounded operators will be dealt with further in Part III.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 1 , February 1964 , pp. 15 - 30
Copyright
Copyright © Australian Mathematical Society 1964

References

[1]Dixmier, J., Bull. Soc. Math. France, 77 (1949) 11–101.CrossRefGoogle Scholar
[2]Von Neumann, J., Ann. of Math. Studies 22, Princeton 1950.Google Scholar
[3]Silberstein, J. P. O., Dissertation, Cambridge, 1952.Google Scholar
[4]Silberstein, J. P. O., Symmetrisable operators, This Journal 2 (1961–1962), 381–402.Google Scholar
[5]Stone, M. H., Amer. Math. Soc. Coll. Publ. XV, New York 1932.Google Scholar
[6]Banach, S., Fund. Math. 3 (1922) p. 157.Google Scholar