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The Resource Inequalities for the numerical radius of linear operators in hilbert spaces, Silvestru Sever Dragomir

Inequalities for the numerical radius of linear operators in hilbert spaces, Silvestru Sever Dragomir

Label
Inequalities for the numerical radius of linear operators in hilbert spaces
Title
Inequalities for the numerical radius of linear operators in hilbert spaces
Statement of responsibility
Silvestru Sever Dragomir
Creator
Author
Subject
Language
eng
Summary
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 Gr ss 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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Dragomir, Sever Silvestru
Dewey number
515/.7246
Index
no index present
LC call number
QA329.2
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SpringerBriefs in mathematics,
http://library.link/vocab/subjectName
  • Linear operators
  • Hilbert space
  • Mathematics
  • Operator Theory
  • Ordinary Differential Equations
  • Analysis
  • MATHEMATICS
  • MATHEMATICS
  • Hilbert space
  • Linear operators
Label
Inequalities for the numerical radius of linear operators in hilbert spaces, Silvestru Sever Dragomir
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction
  • Inequalities for One Operator
  • Inequalities for Two Operators
Control code
859398317
Dimensions
unknown
Extent
1 online resource (x, 120 pages).
File format
unknown
Form of item
online
Isbn
9783319014470
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-01448-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)859398317
Label
Inequalities for the numerical radius of linear operators in hilbert spaces, Silvestru Sever Dragomir
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction
  • Inequalities for One Operator
  • Inequalities for Two Operators
Control code
859398317
Dimensions
unknown
Extent
1 online resource (x, 120 pages).
File format
unknown
Form of item
online
Isbn
9783319014470
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-01448-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)859398317

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