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Perturbation Theory for Linear Operators

C L A S S I C SI N M A T H E M AT I C STosio KatoPerturbation Theoryfor Linear OperatorsSpringerTosio KatoPerturbation Theoryfor Linear OperatorsReprint of the 1980 EditionSpringerTosio KatoDepartment of Mathematics, University of CaliforniaBerkeley, CA 94720-3840 USAO riginally published as Vol. 132 of theGrundlehren der mathematischen WissenschaftenMathematics Subject Classification (1991): 46 BXX, 46 CXX, 47 AXX, 47 BXX,47D03, 47E05, 47F05, 81Q10, 81Q15, 81 UXXISBN 3-540-58661-X Springer-Verlag Berlin Heidelberg New YorkCIP data applied forThis work is subject to copyright. All rights are reserved, whether the whole or part of the material isconcerned, specifically the rights of translation, reprinting, reuse of illustration, recitation, broadcasting,reproduction on microfilm or in any other way, and storage in data banks.

VIII Preface summary. Chapters are divided into sections, and sections into para-graphs. I-§ 2.3, for example, means paragraph three of section two of

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