Katos Type Inequalities For Bounded Linear Operators In Hilbert Spaces PDF Download
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Author | : Silvestru Sever Dragomir |
Publisher | : Springer |
Total Pages | : 126 |
Release | : 2019-05-24 |
Genre | : Mathematics |
ISBN | : 303017459X |
Download Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces Book in PDF, ePub and Kindle
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.
Author | : Silvestru Sever Dragomir |
Publisher | : Springer Science & Business Media |
Total Pages | : 130 |
Release | : 2013-09-14 |
Genre | : Mathematics |
ISBN | : 331901448X |
Download Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces Book in PDF, ePub and Kindle
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.
Author | : Sever S. Dragomir |
Publisher | : |
Total Pages | : 10 |
Release | : 2018 |
Genre | : |
ISBN | : |
Download Some Cauchy-Bunyakovsky-Schwarz Type Inequalities for Sequences of Operators in Hilbert Spaces Book in PDF, ePub and Kindle
Some inequalities of Cauchy-Bunyakovsky-Schwarz type for sequences of bounded linear operators in Hilbert spaces and some applications are given.
Author | : Bicheng Yang |
Publisher | : Bentham Science Publishers |
Total Pages | : 161 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 1608052427 |
Download Discrete Hilbert-Type Inequalities Book in PDF, ePub and Kindle
Discrete Hilbert-type inequalities including Hilbert's inequality are important in mathematical analysis and its applications. In 1998, the author presented an extension of Hilbert's integral inequality with an independent parameter. In 2004, some new extensions of Hilbert's inequality were presented by introducing two pairs of conjugate exponents and additional independent parameters. Since then, a number of new discrete Hilbert-type inequalities have arisen. In this book, the author explains how to use the way of weight coefficients and introduce specific parameters to build new discrete Hil.
Author | : Michiel Hazewinkel |
Publisher | : Springer Science & Business Media |
Total Pages | : 595 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401512884 |
Download Encyclopaedia of Mathematics Book in PDF, ePub and Kindle
This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.
Author | : Naum Ilʹich Akhiezer |
Publisher | : Courier Dover Publications |
Total Pages | : 404 |
Release | : 1993 |
Genre | : Mathematics |
ISBN | : 9780486677484 |
Download Theory of Linear Operators in Hilbert Space Book in PDF, ePub and Kindle
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.
Author | : Werner Schmeidler |
Publisher | : |
Total Pages | : 140 |
Release | : 1965 |
Genre | : Algebras, Linear |
ISBN | : |
Download Linear Operators in Hilbert Space Book in PDF, ePub and Kindle
Author | : Bicheng Yang |
Publisher | : Scientific Research Publishing, Inc. USA |
Total Pages | : 410 |
Release | : 2020-09-25 |
Genre | : Antiques & Collectibles |
ISBN | : 1618969498 |
Download Hilbert-Type Inequalities: Operators, Compositions and Extensions Book in PDF, ePub and Kindle
Hilbert-type inequalities include Hilbert's inequalities, Hardy-Hilbert-type inequalities and Yang-Hilbert-type inequalities, which are important in Analysis and its applications.They are mainly divided three kinds of integral, discrete and half-discrete.In recent twenty years, there are many advances in research on Hilbert-type inequalities,especially in Yang-Hilbert-type inequalities. In this book, by using the way of weight functions, the parameterized idea and technique of Real and Functional Analysis, we introduce multi-parameters and provide three kinds of double Hilbert-type inequalities with the general measurable kernels and the best possible constant factors. The equivalent forms, the reverses and some particular inequalities are obtained. Furthermore, the operator expressions with the norm, a large number of examples on the norm, some composition formulas of the operators, and three kinds of compositional inequalities with the best possible constant factors are considered. The theory of double Hilbert-type inequalities and operators are almost built. The lemmas and theorems provide an extensive account of these kinds of inequalities and operators.
Author | : Sever Silvestru Dragomir |
Publisher | : Nova Publishers |
Total Pages | : 266 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9781594542022 |
Download Advances in Inequalities of the Schwarz, Grüss, and Bessel Type in Inner Product Spaces Book in PDF, ePub and Kindle
The theory of Hilbert spaces plays a central role in contemporary mathematics with numerous applications for Linear Operators, Partial Differential Equations, in Nonlinear Analysis, Approximation Theory, Optimisation Theory, Numerical Analysis, Probability Theory, Statistics and other fields. The Schwarz, triangle, Bessel, Gram and most recently, Grüss type inequalities have been frequently used as powerful tools in obtaining bounds or estimating the errors for various approximation formulae occurring in the domains mentioned above. Therefore, any new advancement related to these fundamental facts will have a flow of important consequences in the mathematical fields where these inequalities have been used before.
Author | : Pintu Bhunia |
Publisher | : Springer Nature |
Total Pages | : 216 |
Release | : 2022-11-18 |
Genre | : Mathematics |
ISBN | : 3031136705 |
Download Lectures on Numerical Radius Inequalities Book in PDF, ePub and Kindle
This book is a self-contained advanced monograph on inequalities involving the numerical radius of bounded linear operators acting on complex Hilbert spaces. The study of numerical range and numerical radius has a long and distinguished history starting from the Rayleigh quotients used in the 19th century to nowadays applications in quantum information theory and quantum computing. This monograph is intended for use by both researchers and graduate students of mathematics, physics, and engineering who have a basic background in functional analysis and operator theory. The book provides several challenging problems and detailed arguments for the majority of the results. Each chapter ends with some notes about historical views or further extensions of the topics. It contains a bibliography of about 180 items, so it can be used as a reference book including many classical and modern numerical radius inequalities.