Theory and Applications of Volterra Operators in Hilbert Space
Author:   Prof. Israel Gohberg ,  M. G. Krein
Publisher:   American Mathematical Society
Edition:   Reprinted edition
Volume:   No. 24
ISBN:  

9780821836279


Pages:   430
Publication Date:   01 March 2006
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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Theory and Applications of Volterra Operators in Hilbert Space


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Overview

An abstract Volterra operator is, roughly speaking, a compact operator in a Hilbert space whose spectrum consists of a single point $\lambda=0$. The theory of abstract Volterra operators, significantly developed by the authors of the book and their collaborators, represents an important part of the general theory of non-self-adjoint operators in Hilbert spaces. The book, intended for all mathematicians interested in functional analysis and its applications, discusses the main ideas and results of the theory of abstract Volterra operators. Of particular interest to analysts and specialists in differential equations are the results about analytic models of abstract Volterra operators and applications to boundary value problems for ordinary differential equations.

Full Product Details

Author:   Prof. Israel Gohberg ,  M. G. Krein
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   Reprinted edition
Volume:   No. 24
Weight:   0.794kg
ISBN:  

9780821836279


ISBN 10:   0821836277
Pages:   430
Publication Date:   01 March 2006
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Introduction Abstract triangular representation of completely continuous operators General theorems on transformators The transformator of triangular truncation. Relations between the spectra of the hermitian components of Volterra operators The factorization of operators which are close to the unit operator Triangular models of Volterra operators Selfadjoint boundary value problems for a canonical equation. Tests for the stable boundedness of the solutions of a canonical equation with a periodic $H$-matrix Fundamental theorem on the density of the spectrum of the real component of a Volterra operator with nuclear imaginary component Appendix. Unicellular operators and related analytic problems Bibliography Index.

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