Linear operators and their essential pseudospectra. ([2018])

• Record Type: Book
• Further Information: Note: Aref Jeribi, PhD.
• Authors: Jeribi, Aref
• Contents: Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; About the Author; Preface; 1: Introduction; 1.1 Essential Spectra and Relative Essential Spectra; 1.2 Essential Pseudospectra; 1.3 Structured Essential Pseudospectra and Relative Structured Essential Pseudospectra; 1.4 Condition Pseudospectrum; 1.5 Outline of Contents; 2: Fundamentals; 2.1 Operators; 2.1.1 Linear Operators; 2.1.2 Bounded Operators; 2.1.3 Closed and Closable Operators; 2.1.4 Adjoint Operator; 2.1.5 Direct Sum; 2.1.6 Resolvent Set and Spectrum; 2.1.7 Compact Operators 2.1.8 A-Defined, A-Bounded, and A-Compact Operators2.1.9 Weakly Compact and A-Weakly Compact Operators; 2.1.10 Dunford-Pettis Property; 2.1.11 Strictly Singular Operators; 2.1.12 Strictly Cosingular; 2.1.13 Perturbation Function; 2.1.14 Measure of Non-Strict-Singularity; 2.1.15 Semigroup Theory; 2.2 Fredholm and Semi-Fredholm Operators; 2.2.1 Definitions; 2.2.2 Basics on Bounded Fredholm Operators; 2.2.3 Basics on Unbounded Fredholm Operators; 2.3 Perturbation; 2.3.1 Fredholm and Semi-Fredholm Perturbations; 2.3.2 Semi-Fredholm Perturbations; 2.3.3 Riesz Operator 2.8 Gap Topology2.8.1 Gap Between Two Subsets; 2.8.2 Gap Between Two Operators; 2.8.3 Convergence in the Generalized Sense; 2.9 Quasi-Inverse Operator; 2.10 Limit Inferior and Superior; 3: Spectra; 3.1 Essential Spectra; 3.1.1 Definitions; 3.1.2 Characterization of Essential Spectra; 3.2 The Left and Right Jeribi Essential Spectra; 3.3 S-Resolvent Set, S-Spectra, and S-Essential Spectra; 3.3.1 The S-Resolvent Set; 3.3.2 S-Spectra; 3.3.3 S-Browder's Resolvent; 3.3.4 S-Essential Spectra; 3.4 Invariance of the S-Essential Spectrum; 3.5 Pseudospectra; 3.5.1 Pseudospectrum; 3.5.2 S-Pseudospectrum
• Publisher Details: Oakville, ON, Canada Waretown, NJ, USA : Apple Academic Press Inc
• Publication Date: 2018
• Extent: 1 online resource (xvi, 352 pages)
• Subjects: 515/.7246; Linear operators; Fredholm operators; Banach spaces; Spectrum analysis -- Mathematics; Banach spaces; Fredholm operators; Linear operators; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Electronic books
• Languages: English
• ISBNs: 9781351046251
• Related ISBNs: 135104625X; 9781351046275; 1351046276; 9781771886994
• Notes: Note: Includes bibliographical references and index.; Note: Description based on online resource; title from digital title page (viewed on May 04, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.