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On eigenvalues and inverse singular values of compact linear operators in Hilbert space

Published online by Cambridge University Press:  24 October 2008

J. P. O. Silberstein  and
F. Smithies
J. P. O. Silberstein
Affiliation:
Box 4331 G.P.O., Melbourne C.1Australia
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Extract

1·1. In this paper we shall be concerned with the equations

where K is a compact (completely continuous) linear operator in a Hilbert space , K is the adjoint of K, I is the identity operator, x and y are elements of ∥ x ∥ denotes the norm of x, and κ and σ are complex numbers.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 2 , April 1953 , pp. 201 - 212
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

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