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Elementary Operator Theory (De Gruyter Textbook) - Paperback NEW Markin, Marat V

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Specificaties

Objectstaat
Nieuw: Een nieuw, ongelezen en ongebruikt boek in perfecte staat waarin geen bladzijden ontbreken of ...
Weight
200grams
Subjects
N/A
Pages
425
Size
23.6 x 17 x 2.8 centimetres (0.7
Topic
Unknown
Book Title
Elementary Operator Theory (De Gruyter Textbook)
ISBN
9783110600964
Publication Year
2020
Type
Textbook
Format
Paperback
Language
English
Publication Name
Elementary Operator Theory
Item Height
240mm
Author
Marat V. Markin
Publisher
De Gruyter
Item Width
170mm
Subject
Mathematics
Item Weight
721g
Number of Pages
425 Pages

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Product Information

The book is intended as a text for a one-semester graduate course in operator theory to be taught from scratch'', not as a sequel to a functional analysis course, with the basics of the spectral theory of linear operators taking the center stage. The book consists of six chapters and appendix, with the material flowing from the fundamentals of abstract spaces (metric, vector, normed vector, and inner product), the Banach Fixed-Point Theorem and its applications, such as Picard's Existence and Uniqueness Theorem, through the basics of linear operators, two of the three fundamental principles (the Uniform Boundedness Principle and the Open Mapping Theorem and its equivalents: the Inverse Mapping and Closed Graph Theorems), to the elements of the spectral theory, including Gelfand's Spectral Radius Theorem and the Spectral Theorem for Compact Self-Adjoint Operators, and its applications, such as the celebrated Lyapunov Stability Theorem. Conceived as a text to be used in a classroom, the book constantly calls for the student's actively mastering the knowledge of the subject matter. There are problems at the end of each chapter, starting with Chapter 2 and totaling at 150. Many important statements are given as problems and frequently referred to in the main body. There are also 432 Exercises throughout the text, including Chapter 1 and the Appendix, which require of the student to prove or verify a statement or an example, fill in certain details in a proof, or provide an intermediate step or a counterexample. They are also an inherent part of the material. More difficult problems are marked with an asterisk, many problems and exercises are supplied with existential'' hints. The book is generous on Examples and contains numerous Remarks accompanying definitions, examples, and statements to discuss certain subtleties, raise questions on whether the converse assertions are true, whenever appropriate, or whether the conditions are essential. With carefully chosen material, proper attention given to applications, and plenty of examples, problems, and exercises, this well-designed text is ideal for a one-semester Master's level graduate course in operator theory with emphasis on spectral theory for students majoring in mathematics, physics, computer science, and engineering. Contents Preface Preliminaries Metric Spaces Vector Spaces, Normed Vector Spaces, and Banach Spaces Linear Operators Elements of Spectral Theory in a Banach Space Setting Elements of Spectral Theory in a Hilbert Space Setting Appendix: The Axiom of Choice and Equivalents Bibliography Index

Product Identifiers

Publisher
De Gruyter
ISBN-13
9783110600964
eBay Product ID (ePID)
17046689768

Product Key Features

Author
Marat V. Markin
Publication Name
Elementary Operator Theory
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2020
Type
Textbook
Number of Pages
425 Pages

Dimensions

Item Height
240mm
Item Width
170mm
Item Weight
721g

Additional Product Features

Title_Author
Marat V. Markin
Series Title
De Gruyter Textbook
Country/Region of Manufacture
Germany

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Charlies Chapters Ltd
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Btw-nummer:
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Handelsregistratienummer:
  • 06386895
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