Title Statements
- Full title :Lectures on Numerical Radius Inequalities.
Edition Statements
- Publication Date:©2022.
Publication Statements
- Publisher(s):Springer International Publishing AG
- Place of Publication:Cham
- Language:eng
- Publication Date:©2022.
The Physical Object
- Description:1 online resource (216 pages).
Edition Identifiers
- ISBN:9783031136702, 3031136705
- oclc:on1355228532
- LC Classification:QA319-329.9
- Dewey Decimal:512.97
Table of Contents
Intro -- Preface -- Contents -- 1 Preliminaries -- 1.1 General Notation and Terminology -- 1.2 Elementary Functional Analysis -- 1.3 Functional Calculus for Selfadjoint Operators -- 1.4 Spectral Representation of Selfadjoint Operators -- 1.5 Block Matrices of Operators -- 2 Fundamental Numerical Radius Inequalities -- 2.1 Basic Properties of Numerical Range -- 2.2 Inequalities Concerning One Operator -- 2.3 Inequalities Related to Davis-Wielandt Radius -- 2.4 Inequalities Involving More Than One Operator -- 2.5 More Applications of Cartesian Decomposition -- 3 Bounds of the Numerical Radius Using Buzano's Inequality -- 3.1 Upper Bounds of the Numerical Radius -- 3.2 Generalized Buzano's Inequality -- 3.3 Vector Inequalities for Projections -- 4 p-Numerical Radius Inequalities of an n-Tuple of Operators -- 4.1 Basic Properties of p-Numerical Radius -- 4.2 Inequalities of wp for Pairs of Operators -- 4.3 Inequalities of wp for n-Tuples of Operators -- 4.4 Hypo-p-Numerical Radius -- 4.5 Reverse Inequalities for Hypo-Euclidean Numerical Radius -- 5 Numerical Radius Inequalities of Product of Operators -- 5.1 Inequalities Involving Adjoint Operators -- 5.2 Inequalities for Product of T…
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