Linear Operators In Hilbert Spaces

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Theory Of Linear Operators In Hilbert Space

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Author : Naum Ilʹich Akhiezer
language : en
Publisher:
Release Date : 1963

Theory Of Linear Operators In Hilbert Space written by Naum Ilʹich Akhiezer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Hilbert space categories.

Linear Operators In Hilbert Space

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Author : Jean Louis Soulé
language : en
Publisher: CRC Press
Release Date : 1968

Linear Operators In Hilbert Space written by Jean Louis Soulé and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.

Linear Operators In Hilbert Spaces

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Author : Joachim Weidmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Linear Operators In Hilbert Spaces written by Joachim Weidmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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.

Theory Of Linear Operators In Hilbert Space

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Author : Naum Il'ič Ahiezer
language : en
Publisher:
Release Date : 1993

Theory Of Linear Operators In Hilbert Space written by Naum Il'ič Ahiezer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Inequalities For The Numerical Radius Of Linear Operators In Hilbert Spaces

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Author : Silvestru Sever Dragomir
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-14

Inequalities For The Numerical Radius Of Linear Operators In Hilbert Spaces written by Silvestru Sever Dragomir and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-14 with Mathematics categories.

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.

Kato S Type Inequalities For Bounded Linear Operators In Hilbert Spaces

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Author : Silvestru Sever Dragomir
language : en
Publisher: Springer
Release Date : 2019-05-24

Kato S Type Inequalities For Bounded Linear Operators In Hilbert Spaces written by Silvestru Sever Dragomir and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-24 with Mathematics categories.

The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary mathematics, with numerous applications in fields including Partial Differential Equations, Approximation Theory, Optimization Theory, and Numerical Analysis, the volume is intended for use by both researchers in various fields and postgraduate students and scientists applying inequalities in their specific areas. For the sake of completeness, all the results presented are completely proved and the original references where they have been firstly obtained are mentioned.

Theory Of Linear Operators In Hilbert Space

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Author : N. I. Akhiezer
language : en
Publisher:
Release Date : 1956

Theory Of Linear Operators In Hilbert Space written by N. I. Akhiezer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with categories.

Theory Of Linear Operators In Hilbert Space

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Author : Naum I. Achiezer
language : en
Publisher:
Release Date : 1981

Theory Of Linear Operators In Hilbert Space written by Naum I. Achiezer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.

Invitation To Linear Operators

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Author : Takayuki Furuta
language : en
Publisher: CRC Press
Release Date : 2001-07-26

Invitation To Linear Operators written by Takayuki Furuta and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-26 with Mathematics categories.

Most books on linear operators are not easy to follow for students and researchers without an extensive background in mathematics. Self-contained and using only matrix theory, Invitation to Linear Operators: From Matricies to Bounded Linear Operators on a Hilbert Space explains in easy-to-follow steps a variety of interesting recent results on linear operators on a Hilbert space. The author first states the important properties of a Hilbert space, then sets out the fundamental properties of bounded linear operators on a Hilbert space. The final section presents some of the more recent developments in bounded linear operators.

Theory Of Linear Operators In Hilbert Space

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Author : Naum Ilʹich Akhiezer
language : en
Publisher:
Release Date : 1966

Theory Of Linear Operators In Hilbert Space written by Naum Ilʹich Akhiezer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Hilbert space categories.