標(biāo)題: Titlebook: Basic Classes of Linear Operators; Israel Gohberg,Seymour Goldberg,Marinus A. Kaashoe Textbook 2003 Springer Basel AG 2003 Hilbert space.O [打印本頁] 作者: GERM 時(shí)間: 2025-3-21 16:50
書目名稱Basic Classes of Linear Operators影響因子(影響力)
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書目名稱Basic Classes of Linear Operators網(wǎng)絡(luò)公開度學(xué)科排名
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書目名稱Basic Classes of Linear Operators讀者反饋
書目名稱Basic Classes of Linear Operators讀者反饋學(xué)科排名
作者: Myosin 時(shí)間: 2025-3-21 21:07 作者: 遍及 時(shí)間: 2025-3-22 02:30
Spectral Theory of Integral Operators,rators. In general, the spectral series representations of these operators converge in the .-norm which is not strong enough for many applications. Therefore we prove the Hilbert-Schmidt theorem and Mercer’s theorem since each of these theorems gives conditions for a uniform convergence of the spect作者: Liability 時(shí)間: 2025-3-22 06:10 作者: 危機(jī) 時(shí)間: 2025-3-22 12:11 作者: Baffle 時(shí)間: 2025-3-22 16:54
Toeplitz and Singular Integral Operators,ntation as simple as possible we have chosen a special class of symbols, namely those that are analytic in an annulus around the unit circle. For this class of symbols the results are independent of .. We prove the theorems about left and right invertibility and derive the Fredholm properties. Also,作者: 路標(biāo) 時(shí)間: 2025-3-22 19:37 作者: antenna 時(shí)間: 2025-3-22 22:57 作者: commune 時(shí)間: 2025-3-23 01:26
Laurent and Toeplitz Operators,perators form important classes of operators and they appear in many applications. They also have remarkable properties. For instance, there are different methods to invert explicitly these operators, and to compute their spectra. This chapter reviews these results starting from the simplest class.作者: Irrepressible 時(shí)間: 2025-3-23 06:25 作者: 充氣球 時(shí)間: 2025-3-23 10:44
Karen Blixen und Heinrich Heineperators form important classes of operators and they appear in many applications. They also have remarkable properties. For instance, there are different methods to invert explicitly these operators, and to compute their spectra. This chapter reviews these results starting from the simplest class.作者: 解決 時(shí)間: 2025-3-23 14:51
Friedrich-Wilhelm von Oppeln-Bronikowski the convergence of the finite section method is analyzed. In the proofs factorization is used systematically. The chapter also contains extensions of the theory to pair operators and to a simple class of singular integral operators on the unit circle.作者: LITHE 時(shí)間: 2025-3-23 18:30 作者: RADE 時(shí)間: 2025-3-24 00:49
Non Linear Operators,one 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.作者: 著名 時(shí)間: 2025-3-24 02:32
aduate or graduate courses on operator theory or functional The present book is an expanded and enriched version ofthe textBasicOperator Theory, written by the first two authors more than twenty years ago. Since then the three ofus have used the basic operator theory text in various courses. This ex作者: 約會(huì) 時(shí)間: 2025-3-24 09:13
Der ?Schwarze Sascha? und Heineerefore we prove the Hilbert-Schmidt theorem and Mercer’s theorem since each of these theorems gives conditions for a uniform convergence of the spectral decomposition of the integral operators. As a corollary of Mercer’s theorem we obtain the trace formula for positive integral operators with continuous kernel function.作者: GRILL 時(shí)間: 2025-3-24 12:02 作者: 使尷尬 時(shí)間: 2025-3-24 16:43 作者: 勤勞 時(shí)間: 2025-3-24 20:55 作者: Wordlist 時(shí)間: 2025-3-25 03:02 作者: morale 時(shí)間: 2025-3-25 07:06
Fredholm Operators,of Toeplitz operators. The main properties of Fredholm operators, the perturbation theorems and the stability of the index, are presented in this chapter. The proofs are based on the fact that these operators can be represented as finite rank perturbations of one-sided invertible operators.作者: gospel 時(shí)間: 2025-3-25 09:29
Textbook 2003troduction to functional analysis, with a strong emphasis on operator theory and its applications. It is designed for graduate and senior undergraduate students in mathematics, science, engineering, and other fields.作者: 委托 時(shí)間: 2025-3-25 14:40
2002 The authors Introduction This elementary text is an introduction to functional analysis, with a strong emphasis on operator theory and its applications. It is designed for graduate and senior undergraduate students in mathematics, science, engineering, and other fields.978-3-7643-6930-9978-3-0348-7980-4作者: 中國紀(jì)念碑 時(shí)間: 2025-3-25 18:37
Bounded Linear Operators on Hilbert Spaces, in the same way as linear transformations on ?. 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.作者: resistant 時(shí)間: 2025-3-25 23:12 作者: 抱負(fù) 時(shí)間: 2025-3-26 03:27
Die Alpen im Meer Ein ReisebildOne of the fundamental results in linear algebra is the spectral theorem which states that if . is a finite dimensional Hilbert space and . ∈ .(.) is self adjoint, then there exists an orthonormal basis ?.,…, ?. for . and real numbers λ.,…, λ. such that 作者: 發(fā)牢騷 時(shí)間: 2025-3-26 06:19
https://doi.org/10.1007/978-3-476-02889-1The aim of this chapter is to describe the motion of a vibrating string in terms of the eigenvalues and eigenvectors of an integral operator.作者: 埋伏 時(shí)間: 2025-3-26 11:14 作者: organic-matrix 時(shí)間: 2025-3-26 12:55
https://doi.org/10.1007/978-3-476-02888-4In this chapter we return to the problem of solving the equation . — . = .. One of the themes of this book is to devise algorithms which generate a sequence of vectors that converges to a solution. This chapter further develops this theme. The main results rely on the spectral theorem.作者: 娘娘腔 時(shí)間: 2025-3-26 19:36
https://doi.org/10.1007/978-3-476-00154-2In this chapter we continue to develop the spectral theory. Simultaneous diagonalization, normal operators, and unitary equivalence are the main topics.作者: 法律的瑕疵 時(shí)間: 2025-3-26 23:17
https://doi.org/10.1007/978-3-476-00202-0A norm can be defined on ?. in many different ways. Some of them stem from an inner product. An example of a norm on ?. which does not arise from an inner product is ∥(α.,α., …, α.)∥ = max作者: tattle 時(shí)間: 2025-3-27 02:29 作者: 寄生蟲 時(shí)間: 2025-3-27 09:14
https://doi.org/10.1007/978-3-476-00360-7A linear operator . defined in the standard basis of ?.(1 ≤ . ≤ ∞) by a matrix of the form ., with . ∈ ? and . we call a Poincaré operator.作者: 食品室 時(shí)間: 2025-3-27 10:07
Hilbert Spaces,In this chapter we review the main properties of the complex .-dimensional space ?. and then we study the Hilbert space which is its most natural infinite dimensional generalization. Many applications to classical problems are included (Least squares, Fourier series and others).作者: 幼稚 時(shí)間: 2025-3-27 15:43
Spectral Theory of Compact Self Adjoint Operators,One of the fundamental results in linear algebra is the spectral theorem which states that if . is a finite dimensional Hilbert space and . ∈ .(.) is self adjoint, then there exists an orthonormal basis ?.,…, ?. for . and real numbers λ.,…, λ. such that 作者: lanugo 時(shí)間: 2025-3-27 19:05
Oscillations of an Elastic String,The aim of this chapter is to describe the motion of a vibrating string in terms of the eigenvalues and eigenvectors of an integral operator.作者: 尖叫 時(shí)間: 2025-3-28 00:41
Operational Calculus with Applications,The spectral theory which was studied in the preceding chapters provides a means for the development of a theory of functions of a compact self adjoint operator. We now present this theory with applications to a variety of problems in differential equations.作者: Enliven 時(shí)間: 2025-3-28 03:14
Solving Linear Equations by Iterative Methods,In this chapter we return to the problem of solving the equation . — . = .. One of the themes of this book is to devise algorithms which generate a sequence of vectors that converges to a solution. This chapter further develops this theme. The main results rely on the spectral theorem.作者: 性上癮 時(shí)間: 2025-3-28 06:31 作者: Tdd526 時(shí)間: 2025-3-28 10:55 作者: 瘙癢 時(shí)間: 2025-3-28 18:15 作者: 火海 時(shí)間: 2025-3-28 21:40
,Poincaré Operators: Determinant and trace,A linear operator . defined in the standard basis of ?.(1 ≤ . ≤ ∞) by a matrix of the form ., with . ∈ ? and . we call a Poincaré operator.作者: Spinal-Tap 時(shí)間: 2025-3-29 02:10
https://doi.org/10.1007/978-3-0348-7980-4Hilbert space; Operator theory; Singular integral; functional analysis; operational calculus作者: 大氣層 時(shí)間: 2025-3-29 06:31 作者: CRUC 時(shí)間: 2025-3-29 09:37
Christoph auf der Horst,Alfons Labisch in the same way as linear transformations on ?. 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.作者: 自制 時(shí)間: 2025-3-29 14:32 作者: 脆弱吧 時(shí)間: 2025-3-29 18:56 作者: flamboyant 時(shí)間: 2025-3-29 19:57
Heine beim Wort genommen: Vergeltungrential equations give rise to an important class of unbounded linear operators which are not defined on all of .([., .]). In this chapter an introduction to unbounded operators is presented which includes the spectral theorem for the Sturm-Liouville operator. Simple examples of the spectral theory 作者: legitimate 時(shí)間: 2025-3-30 00:18 作者: jumble 時(shí)間: 2025-3-30 06:10 作者: Addictive 時(shí)間: 2025-3-30 10:36 作者: Pander 時(shí)間: 2025-3-30 13:07
Israel Gohberg,Seymour Goldberg,Marinus A. KaashoeSignificantly enlarged and revised version of "Basic Operator Theory" by I. Gohberg and S. Goldberg.Introductory textbook for senior undergraduate or graduate courses on operator theory or functional 作者: 獨(dú)裁政府 時(shí)間: 2025-3-30 18:15 作者: enfeeble 時(shí)間: 2025-3-30 21:41 作者: PON 時(shí)間: 2025-3-31 01:39
10樓作者: 無能性 時(shí)間: 2025-3-31 08:33
10樓作者: AUGER 時(shí)間: 2025-3-31 10:23
10樓作者: grieve 時(shí)間: 2025-3-31 16:15
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