Self-adjoint square roots of positive self-adjoint bounded linear operators

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)).


Published in:
Proceedings of the Edinburgh Mathematical Society (Series 2), 18, 1, 77-79
Year:
1972
Laboratories:




 Record created 2008-12-10, last modified 2018-09-13


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