Overview
- Authors:
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Israel Gohberg
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School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, IL - Ramat Aviv, Israel
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Seymour Goldberg
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Silver Spring, USA
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Nahum Krupnik
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Dept. of Mathematics and Computer Science, Bar Ilan University, IL - Ramat Gan, Israel
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Table of contents (15 chapters)
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 1-3
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 5-23
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 25-38
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 39-45
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 47-90
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 91-110
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 111-132
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 133-141
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 143-157
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 159-168
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 169-186
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 187-200
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 201-211
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 213-242
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- Israel Gohberg, Seymour Goldberg, Nahum Krupnik
Pages 243-248
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Back Matter
Pages 249-258
About this book
The authors initially planned to write an article describing the origins and devel opments of the theory of Fredholm operators and to present their recollections of this topic. We started to read again classical papers and we were sidetracked by the literature concerned with the theory and applications of traces and determi nants of infinite matrices and integral operators. We were especially impressed by the papers of Poincare, von Koch, Fredholm, Hilbert and Carleman, as well as F. Riesz's book on infinite systems of linear equations. Consequently our plans were changed and we decided to write a paper on the history of determinants of infi nite matrices and operators. During the preparation of our paper we realized that many mathematical questions had to be answered in order to gain a more com plete understanding of the subject. So, we changed our plans again and decided to present the subject in a more advanced form which would satisfy our new require ments. This whole process took between four and five years of challenging, but enjoyable work. This entailed the study of the appropriate relatively recent results of Grothendieck, Ruston, Pietsch, Hermann Konig and others. After the papers [GGK1] and [GGK2] were published, we saw that the written material could serve as the basis of a book.
Authors and Affiliations
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School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, IL - Ramat Aviv, Israel
Israel Gohberg
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Silver Spring, USA
Seymour Goldberg
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Dept. of Mathematics and Computer Science, Bar Ilan University, IL - Ramat Gan, Israel
Nahum Krupnik