Linear operators and their essential pseudospectra / Aref Jeribi, PhD

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Oakville, ON, Canada ; Waretown, NJ, USA : Apple Academic Press Inc, 2018Description: 1 Online-Ressource (xvi, 352 pages)Subject(s): Additional physical formats: 1351046276 | 9781351046275 | 9781771886994 | 135104625X. | 9781351046251. | Erscheint auch als: No title Druck-Ausgabe | Print version: Linear operators and their essential pseudospectra. Toronto : Apple Academic Press, 2018DDC classification:
  • 515/.7246
LOC classification:
  • QA329.2
Online resources: Summary: 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-PseudospectrumSummary: "Linear Operators and Their Essential Pseudospectra provides a comprehensive study of spectral theory of linear operators defined on Banach spaces. The central items of interest in the volume include various essential spectra, but the author also considers some of the generalizations that have been studied. In recent years, spectral theory has witnessed an explosive development. This volume presents a survey of results concerning various types of essential spectra and pseudospectra in a unified, axiomatic way and also discusses several topics that are new but which relate to the concepts and methods emanating from the book. The main topics include essential spectra, essential pseudospectra, structured essential pseudospectra, and their relative sets. This volume will be very useful for several researchers since it represents not only a collection of a previously heterogeneous material but also includes innovation through several extensions. As the spectral theory of operators is an important part of functional analysis and has numerous applications in many parts of mathematics, the author suggests that some modest prerequisites from functional analysis and operator theory should be in place to be accessible to newcomers and graduate students of mathematics with a standard background in analysis."--Provided by publisherPPN: PPN: 1026327733Package identifier: Produktsigel: ZDB-4-NLEBK
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