Linear Systems and Operators in Hilbert Space (Dover Books on Mathematics)
Linear Systems and Operators in Hilbert Space (Dover Books on Mathematics)

Author: Charlotte J. King

Publisher: CreateSpace

Published: 2015-08-09

Total Pages: 110

ISBN-13: 9781516814275

DOWNLOAD EBOOK

Thought-provoking and accessible in approach, this updated and expanded second edition of the Linear Systems and Operators in Hilbert Space (Dover Books on Mathematics) provides a user-friendly introduction to the subject, Taking a clear structural framework, it guides the reader through the subject's core elements. A flowing writing style combines with the use of illustrations and diagrams throughout the text to ensure the reader understands even the most complex of concepts. This succinct and enlightening overview is a required reading for advanced graduate-level students. We hope you find this book useful in shaping your future career. Feel free to send us your enquiries related to our publications to [email protected] Rise Press

Linear Systems and Operators in Hilbert Space
Linear Systems and Operators in Hilbert Space

Author: Paul A. Fuhrmann

Publisher: Courier Corporation

Published: 2014-02-19

Total Pages: 340

ISBN-13: 0486493059

DOWNLOAD EBOOK

A treatment of system theory within the context of finite dimensional spaces, this text is appropriate for students with no previous experience of operator theory. The three-part approach, with notes and references for each section, covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. 1981 edition.

Theory of Linear Operators in Hilbert Space
Theory of Linear Operators in Hilbert Space

Author: N. I. Akhiezer

Publisher: Courier Corporation

Published: 2013-04-15

Total Pages: 378

ISBN-13: 0486318656

DOWNLOAD EBOOK

This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. It is directed to students at graduate and advanced undergraduate levels, but because of the exceptional clarity of its theoretical presentation and the inclusion of results obtained by Soviet mathematicians, it should prove invaluable for every mathematician and physicist. 1961, 1963 edition.

Theory of Linear Operators in Hilbert Space
Theory of Linear Operators in Hilbert Space

Author: Naum Ilʹich Akhiezer

Publisher: Courier Dover Publications

Published: 1993

Total Pages: 404

ISBN-13: 9780486677484

DOWNLOAD EBOOK

One of the classic textbooks in the field, this outstanding work introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators.

Linear Operators in Hilbert Spaces
Linear Operators in Hilbert Spaces

Author: Joachim Weidmann

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 413

ISBN-13: 1461260272

DOWNLOAD EBOOK

This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.

Hilbert Space Operators
Hilbert Space Operators

Author: Carlos S. Kubrusly

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 162

ISBN-13: 1461220645

DOWNLOAD EBOOK

This self-contained work on Hilbert space operators takes a problem-solving approach to the subject, combining theoretical results with a wide variety of exercises that range from the straightforward to the state-of-the-art. Complete solutions to all problems are provided. The text covers the basics of bounded linear operators on a Hilbert space and gradually progresses to more advanced topics in spectral theory and quasireducible operators. Written in a motivating and rigorous style, the work has few prerequisites beyond elementary functional analysis, and will appeal to graduate students and researchers in mathematics, physics, engineering, and related disciplines.

Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces

Author: Silvestru Sever Dragomir

Publisher: Springer Science & Business Media

Published: 2013-09-14

Total Pages: 130

ISBN-13: 331901448X

DOWNLOAD EBOOK

Aimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators on complex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in functional analysis, operator theory, differential equations, and quantum computation, to name several. Chapter 1 presents fundamental facts about the numerical range and the numerical radius of bounded linear operators in Hilbert spaces. Chapter 2 illustrates recent results obtained concerning numerical radius and norm inequalities for one operator on a complex Hilbert space, as well as some special vector inequalities in inner product spaces due to Buzano, Goldstein, Ryff and Clarke as well as some reverse Schwarz inequalities and Grüss type inequalities obtained by the author. Chapter 3 presents recent results regarding the norms and the numerical radii of two bounded linear operators. The techniques shown in this chapter are elementary but elegant and may be accessible to undergraduate students with a working knowledge of operator theory. A number of vector inequalities in inner product spaces as well as inequalities for means of nonnegative real numbers are also employed in this chapter. All the results presented are completely proved and the original references are mentioned.

Theory of Linear Operators in Hilbert Space (Dover Books on Mathematics)
Theory of Linear Operators in Hilbert Space (Dover Books on Mathematics)

Author: Louis E. Ball

Publisher: CreateSpace

Published: 2015-08-09

Total Pages: 110

ISBN-13: 9781516814268

DOWNLOAD EBOOK

Thought-provoking and accessible in approach, this updated and expanded second edition of the Theory of Linear Operators in Hilbert Space (Dover Books on Mathematics) provides a user-friendly introduction to the subject, Taking a clear structural framework, it guides the reader through the subject's core elements. A flowing writing style combines with the use of illustrations and diagrams throughout the text to ensure the reader understands even the most complex of concepts. This succinct and enlightening overview is a required reading for advanced graduate-level students. We hope you find this book useful in shaping your future career. Feel free to send us your enquiries related to our publications to [email protected] Rise Press