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Self-adjoint square roots of positive self-adjoint bounded linear operators
Published online by Cambridge University Press: 20 January 2009
Extract
A corollary of the main theorem presented in this note is a generalisation of the well-known result that a self-adjoint square root of a positive self-adjoint compact linear map in a Hilbert space is itself a compact linear map. The method used here exploits the techniques developed recently in the study of k-set contractions ((1), (2)).
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- Copyright © Edinburgh Mathematical Society 1972
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