Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
Language: English
Published by Springer, 2013
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Druck auf Anfrage Neuware - Printed after ordering - 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.…
Seller Inventory # 9783319014470
- Title
- Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
- Author
- Silvestru Sever Dragomir
- Publisher
- Springer
- Publication year
- 2013
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3319014471
- ISBN 13
- 9783319014470
- Item weight
- 213 grams
- Dimensions
- 235x155x8 mm
- Series
- Book 28 of 155: SpringerBriefs in Mathematics
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.
"Synopsis" may belong to another edition of this title.
Review
From the book reviews:
“The aim of this book is to provide several inequalities, mainly obtained by the author, concerning the numerical radius of linear operators. ... The book is easy to read and should be accessible to undergraduates taking a course in operator theory.” (Cătălin Badea, zbMATH, Vol. 1302, 2015)
“The author discusses various numerical radius inequalities for bounded linear operators in complex Hilbert spaces. ... The book is appropriate for researchers and graduate students in the area of linear operator theory in Hilbert spaces, or as a reference book for researchers in different mathematical disciplines using inequalities involving the numerical radius of a linear operator. ... the book is well written and provides a good summary of the author’s recent results.” (Tsvetanka Sendova, Mathematical Reviews, June, 2014)
"About the title" may belong to another edition of this title.
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