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Spectral representation of linear transformations in ω

Published online by Cambridge University Press:  24 October 2008

J. H. Williamson
J. H. Williamson
Affiliation:
Christ's CollegeCambridge
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Extract

1. In this paper we consider the following problems, for continuous linear transformations in the space ω, whose points are arbitrary sequences of complex numbers, with the usual topology:

(a) the establishment of a spectral representation theorem; and

(b) the general description of the spectrum.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 3 , July 1951 , pp. 461 - 472
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

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