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Basic Classes of Linear Operators

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 806/5 ( reviews)

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Book Synopsis Basic Classes of Linear Operators by : Israel Gohberg

Download or read book Basic Classes of Linear Operators written by Israel Gohberg. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive graduate textbook that introduces functional analysis with an emphasis on the theory of linear operators and its application to differential equations, integral equations, infinite systems of linear equations, approximation theory, and numerical analysis. As a textbook designed for senior undergraduate and graduate students, it begins with the geometry of Hilbert spaces and proceeds to the theory of linear operators on these spaces including Banach spaces. Presented as a natural continuation of linear algebra, the book provides a firm foundation in operator theory which is an essential part of mathematical training for students of mathematics, engineering, and other technical sciences.

Classes of Linear Operators

1990 Mathematics
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Release : 1990
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Classes of Linear Operators by : Israel Gohberg

Download or read book Classes of Linear Operators written by Israel Gohberg. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt:

Classes of Linear Operators

1990
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Release : 1990
Genre :
Kind : eBook
Book Rating : 313/5 ( reviews)

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Book Synopsis Classes of Linear Operators by : Yiśrāʻēl Z. Gohberg

Download or read book Classes of Linear Operators written by Yiśrāʻēl Z. Gohberg. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt:

Classes of Linear Operators Vol. I

2014-03-12 Mathematics
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Release : 2014-03-12
Genre : Mathematics
Kind : eBook
Book Rating : 103/5 ( reviews)

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Book Synopsis Classes of Linear Operators Vol. I by : Israel Gohberg

Download or read book Classes of Linear Operators Vol. I written by Israel Gohberg. This book was released on 2014-03-12. Available in PDF, EPUB and Kindle. Book excerpt: After the book "Basic Operator Theory" by Gohberg-Goldberg was pub lished, we, that is the present authors, intended to continue with another book which would show the readers the large variety of classes of operators and the important role they play in applications. The book was planned to be of modest size, but due to the profusion of results in this area of analysis, the number of topics grew larger than ex pected. Consequently, we decided to divide the material into two volumes - the first volume being presented now. During the past years, courses and seminars were given at our respective in stitutions based on parts of the texts. These were well received by the audience and enabled us to make appropriate choices for the topics and presentation for the two vol umes. We would like to thank G.J. Groenewald, A.B. Kuijper and A.C.M. Ran of the Vrije Universiteit at Amsterdam, who provided us with lists of remarks and corrections. We are now aware that the Basic Operator Theory book should be revised so that it may suitably fit in with our present volumes. This revision is planned to be the last step of an induction and not the first.

Classes of Linear Operators

2012-11-01 Science
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Release : 2012-11-01
Genre : Science
Kind : eBook
Book Rating : 795/5 ( reviews)

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Book Synopsis Classes of Linear Operators by : Israel Gohberg

Download or read book Classes of Linear Operators written by Israel Gohberg. This book was released on 2012-11-01. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes constitute texts for graduate courses in linear operator theory. The reader is assumed to have a knowledge of both complex analysis and the first elements of operator theory. The texts are intended to concisely present a variety of classes of linear operators, each with its own character, theory, techniques and tools. For each of the classes, various differential and integral operators motivate or illustrate the main results. Although each class is treated seperately and the first impression may be that of many different theories, interconnections appear frequently and unexpectedly. The result is a beautiful, unified and powerful theory. The classes we have chosen are representatives of the principal important classes of operators, and we believe that these illustrate the richness of operator theory, both in its theoretical developments and in its applicants. Because we wanted the books to be of reasonable size, we were selective in the classes we chose and restricted our attention to the main features of the corresponding theories. However, these theories have been updated and enhanced by new developments, many of which appear here for the first time in an operator-theory text. In the selection of the material the taste and interest of the authors played an important role.

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