From the reviews: "[ ] An excellent textbook in the theory of linear operators in Banach and Hilbert spaces. It is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory. [ ] I can recommend it for any mathematician or physicist interested in this field." Zentralblatt MATH

Perturbation Theory for Linear Operators. Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen, Volume 132

Science & Math

Katō, Tosio

Mathematics

Springer

This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions about separating the first two chapters into a single volume. I have now agreed to follow the suggestions, hoping that it will make the book available to a wider audience. Those two chapters were intended from the outset to be a comprehen sive presentation of those parts of perturbation theory that can be treated without the topological complications of infinite-dimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finite-dimensional spaces, although one should not forget that some parts of the theory, such as those pertaining to scatter ing. are peculiar to infinite dimensions. I hope that this book may also be used as an introduction to linear algebra. I believe that the analytic approach based on a systematic use of complex functions, by way of the resolvent theory, must have a strong appeal to students of analysis or applied mathematics, who are usually familiar with such analytic tools.

A Short Introduction to Perturbation Theory for Linear Operators

On the Eigenfunctions of Many-particle Systems in Quantum Mechanics

History

Legare Street Press

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Andesite Press

This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions about separating the first two chapters into a single volume. I have now agreed to follow the suggestions, hoping that it will make the book available to a wider audience. Those two chapters were intended from the outset to be a comprehen sive presentation of those parts of perturbation theory that can be treated without the topological complications of infinite-dimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finite-dimensional spaces, although one should not forget that some parts of the theory, such as those pertaining to scatter ing. are peculiar to infinite dimensions. I hope that this book may also be used as an introduction to linear algebra. I believe that the analytic approach based on a systematic use of complex functions, by way of the resolvent theory, must have a strong appeal to students of analysis or applied mathematics, who are usually familiar with such analytic tools.

From the reviews: "[…] An excellent textbook in the theory of linear operators in Banach and Hilbert spaces. It is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory. […] I can recommend it for any mathematician or physicist interested in this field." Zentralblatt MATH

Perturbation Theory for Linear Operators (Classics in Mathematics, 132)

Contributions to Functional Analysis English German and French Edition

Contributions to Functional Analysis

Landsberg, Max

Taylor, Angus E.

Yosida, Kösaku

Hildebrandt, Stefan

Ewald, Günter

Dunford, Nelson

Kelley, J. L.

Leray, Jean

Mallios, Anastasios

Bucy, R.S.

Naimark, M.A.

Klee, Victor

Browder, Felix E.

Dieudonne, Jean.

Cordes, H. O.

Krabbe, Gregers

Michael E.

Berens, Hubert

Butzer, P. L.

Fan, Ky

Heuser, Harro

König, Heinz

Zaanen, A.C.

Fullerton, R. E.

Braunschweiger, C. C.

Poulsen, Ebbe Thue

Kōmura, Takako

Kōmura, Yukio

Schaefer, Helmut H.

Nieto, Joseph

Luxemburg, W. A. J.

Cooper, J. L. B.

Maltese, G.

Garnir, H. G.

Riedrich, Thomas

Martineau, A.

Pták, Vlastimil

Koshi, Shozo

Leptin, Horst

Reiter, H.

Waelbroeck, L.

Aronszajn, N.

Szeptycki, P.

Arens, Richard

Bessaga, Czeslaw

Nakano, Hidegoro

Wloka, Joseph

Neubauer, Gerhard

Diaz, J. B.

Metcalf, F. T.

Thoma, Elmar

Gramsch, Bernhard

Reference

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