Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Differential Equations
Cover of the book Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces by Silvestru Sever Dragomir, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Silvestru Sever Dragomir ISBN: 9783319014487
Publisher: Springer International Publishing Publication: September 14, 2013
Imprint: Springer Language: English
Author: Silvestru Sever Dragomir
ISBN: 9783319014487
Publisher: Springer International Publishing
Publication: September 14, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Computer Vision in Control Systems-4 by Silvestru Sever Dragomir
Cover of the book Polymers against Microorganisms by Silvestru Sever Dragomir
Cover of the book Assessing the Viva in Higher Education by Silvestru Sever Dragomir
Cover of the book The International Legal Responsibility of the European Union in the Context of the World Trade Organization in Areas of Non-Conferred Competences by Silvestru Sever Dragomir
Cover of the book Personalized Therapy for Multiple Myeloma by Silvestru Sever Dragomir
Cover of the book History of Number by Silvestru Sever Dragomir
Cover of the book Freezing Colloids: Observations, Principles, Control, and Use by Silvestru Sever Dragomir
Cover of the book Yearbook of Corpus Linguistics and Pragmatics 2016 by Silvestru Sever Dragomir
Cover of the book Parallel Computing Technologies by Silvestru Sever Dragomir
Cover of the book Transionospheric Synthetic Aperture Imaging by Silvestru Sever Dragomir
Cover of the book Domain Decomposition Methods in Science and Engineering XXII by Silvestru Sever Dragomir
Cover of the book Proceedings of the 13th International Scientific Conference by Silvestru Sever Dragomir
Cover of the book Study on the Optimal Allocation of Water Resources Systems and the Comprehensive Utilization of Water Resources in Arid-Semiarid Multiple Mining Areas by Silvestru Sever Dragomir
Cover of the book Granville Sharp's Uncovered Letter and the Zong Massacre by Silvestru Sever Dragomir
Cover of the book Technology and Adolescent Mental Health by Silvestru Sever Dragomir
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy