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ibrfaws

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احتاج الى هذه الكتب و الاوراق ضروري مع الشكر للجميع
1)Hilbert space operators by Carlos S.kubrusly
2) perturbation theory for linear operators by tosio kato
3) invitation to linear oerators by Takayuki Furuta
4) ACourse in operatortheory by john B.Conway
5) spectral theory for a class of non-normal operators by Harry Gonshor( this is a paper not a book)0
6)The theory of subnormal operators by Conway
7) Annals of mathematics by Jastor
 
ibrfaws قال:
احتاج الى هذه الكتب و الاوراق ضروري مع الشكر للجميع
1)Hilbert space operators by Carlos S.kubrusly
أنقر للتوسيع...
أتمنى أن يكون أحد هاذين الكتابين مفيد
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Hilbert Space Operators in Quantum Physics (Theoretical and Mathematical Physics)
By Jirí Blank, Pavel Exner, Miloslav Havlícek



  • Publisher: Springer
  • Number Of Pages: 666
  • Publication Date: 2008-10-01
  • ISBN-10 / ASIN: 1402088698
  • ISBN-13 / EAN: 9781402088698
  • Binding: Hardcover


Product Description:
This course-tested book explains in detail the theory of linear Hilbert-space operators and their use in quantum physics. The central mathematical tool of the book is the spectral theory of self-adjoint operators; in order to make the exposition self-contained, selected topics of functional analysis are included. An introduction to the theory of operator sets and algebras is also presented. This mathematical material is then used for a systematic analysis of the operator structure of quantum theory. Logical building of the theory is discussed as well as its practical aspects, such as spectral properties of quantum mechanical Hamiltonians, scattering theory, and more.

The second edition was extended by two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography was amended by about 130 new items.​


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Means of Hilbert Space Operators (Lecture Notes in Mathematics)
By Fumio Hiai, Hideki Kosaki



  • Publisher: Springer
  • Number Of Pages: 148
  • Publication Date: 2003-09-29
  • ISBN-10 / ASIN: 3540406808
  • ISBN-13 / EAN: 9783540406808
  • Binding: Paperback


Product Description:
The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.​



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