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Excerpt from On Gentle Perturbations, I It is most natural to ask whether the examples referred to are typical, in the sense that the worst that can happen under gentle perturbations is the appearance of point eigen values. In other words we ask is it true that under large but gentle perturbations the continuous parts of the disturbed and undisturbed operators are equivalent? We do not know the answer to this question; however, we know that the answer to a weaker question is in the negative. This is shown in Appendix II. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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