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Titlebook: Basic Operator Theory; Israel Gohberg,Seymour Goldberg Textbook 2001 Birkhäuser Boston 2001 Applications of Mathematics.Functional Analysi

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发表于 2025-3-21 16:56:14 | 显示全部楼层 |阅读模式
期刊全称Basic Operator Theory
影响因子2023Israel Gohberg,Seymour Goldberg
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图书封面Titlebook: Basic Operator Theory;  Israel Gohberg,Seymour Goldberg Textbook 2001 Birkhäuser Boston 2001 Applications of Mathematics.Functional Analysi
影响因子rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a nat­ ural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three ‘basic principles of linear analysis and the Riesz­ Fredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional anal­ ysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writ­ ing this book, the authors were strongly influenced by re­ cent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader‘s com­ prehension of the material, and to train him or her in the use of it. In th
Pindex Textbook 2001
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发表于 2025-3-21 21:24:41 | 显示全部楼层
e strongly influenced by re­ cent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader‘s com­ prehension of the material, and to train him or her in the use of it. In th978-0-8176-4262-4978-1-4612-5985-5
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ctral theory of compact self adjoint operators; operational calculus is next presented as a nat­ ural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three ‘basic principles of line
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Non Linear Operators,ne of the simplest; the Contraction Mapping Theorem. This theorem is very powerful in that it allows one to prove the existence of solutions to nonlinear integral, differential and functional equations, and it gives a procedure for numerical approximations to the solution. Some of the applications are also included in this chapter.
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Sicken im Boden von Ziehteilen,in the same way as linear transformations on ℂ. are represented by finite matrices. In this way the chapter may be viewed as a beginning of a theory of infinite matrices. As may be expected, analysis plays a very important role.
发表于 2025-3-23 05:26:37 | 显示全部楼层
Sicken im Boden von Ziehteilen,in the same way as linear transformations on ℂ. are represented by finite matrices. In this way the chapter may be viewed as a beginning of a theory of infinite matrices. As may be expected, analysis plays a very important role.
发表于 2025-3-23 08:18:07 | 显示全部楼层
C. von Fragstein,J. Meingast,H. Hochtors, again the main problem is to solve equations Ax = y for a nonlinear A in a Hilbert or Banach space. Geometrically, this problem means that a certain map or operator B leaves fixed at least one vector x, i.e., x = Bx, where Bx = x + Ax − y, and we have to find this vector. Theorems which establ
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