6 Best Books on Operators on Hilbert Spaces

We have compiled a list of the Best Reference Books on Operators On Hilbert Spaces, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of Operators On Hilbert Spaces Books with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Operators On Hilbert Spaces below.

 
1."Theory of Linear Operators in Hilbert Space" by N I Akhiezer and I M Glazman
“Theory of Linear Operators in Hilbert Space” Book Review: The objective of this book is to provide an introduction to linear operators in Hilbert space. It extensively explores the geometry of Hilbert space and delves into the detailed study of spectral theory for unitary and self-adjoint operators. Each chapter of the book comprehensively covers major topics such as Hilbert space, linear functionals, bounded linear operators, projection operators, unitary operators, the theory of linear operators, and spectral analysis. With its comprehensive coverage, this book serves as a valuable asset for graduate and advanced undergraduate students of mathematics. Additionally, mathematicians and physicists will also find this book to be a useful resource in their respective fields.

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2."Operators on Hilbert Space" by V S Sunder
“Operators on Hilbert Space” Book Review: This book provides a clear and comprehensive examination of the theory of bounded linear operators on separable Hilbert space. It offers a detailed exploration of the spectral theorem, highlighting the unique, continuous, and measurable functional calculus. Each chapter in the book is self-contained and offers efficient explanations of various topics, including the Gelfand theory of commutative Banach algebras, von Neumann-Schatten ideals, compact operators, trace-class operators, and bounded operators. With its precise presentation and in-depth coverage, this book proves to be highly beneficial for students and professionals in the fields of mathematics and physics.

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3."Harmonic Analysis of Operators on Hilbert Space" by Béla Sz Nagy and Ciprian Foias
“Harmonic Analysis of Operators on Hilbert Space” Book Review: This book is an updated and revised edition that explores the latest topics and recent advancements in harmonic analysis and Hilbert space. Each chapter focuses on the study of two operator classes, covering topics such as operators with non-injective functional calculus, structure, classification, and invariant subspaces. The final section of the book is dedicated to discussing the most current developments in the field of harmonic analysis. With its comprehensive coverage, this book serves as an excellent reference for students and professionals in the fields of mathematics, interpolation theory, and control theory. Furthermore, it serves as a valuable source of information for those interested in contraction operators.

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4."Spectral Theory of Operators on Hilbert Spaces" by Carlos S Kubrusly
“Spectral Theory of Operators on Hilbert Spaces” Book Review: This book provides a comprehensive coverage of the spectral theory of Hilbert space operators, encompassing all major aspects and the latest topics in the field. Each chapter efficiently explains essential topics, including preliminaries, spectrum, spectral theorem, functional calculus, and Fredholm theory. To enhance practical knowledge and provide relatable content, the book emphasizes the applications of Hilbert space operators and spectral theory in various fields. With its valuable insights and broad applicability, this book serves as a valuable resource for students graduating in mathematics, statistics, economics, engineering, and physics.

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5."Invitation to Linear Operators: From Matrices to Bounded Linear Operators on a Hilbert Space" by Takayuki Furuta
“Invitation to Linear Operators: From Matrices to Bounded Linear Operators on a Hilbert Space” Book Review: This book delves into the recent research and advancements concerning linear operators on a Hilbert space. It provides a clear understanding of the basic properties and fundamental principles underlying Hilbert space. The chapters of the book are well-organized, concise, and comprehensively outline the properties of bounded linear operators, followed by an exploration of the latest developments and research opportunities in this field. Utilizing matrix theory as an effective tool for explanation, the book presents various methods and theorems. It serves as a valuable resource for mathematics students and researchers, offering insights into this specialized area of study.

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6."Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrödinger Equations" by Samuel S Holland Jr
“Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrödinger Equation” Book Review: This book serves as an introduction to Hilbert space theory and Hermitian differential operators. The chapters cover topics such as first and second order linear differential equations, eigenvalues and eigenfunctions of Hermitian differential operators, orthogonal bases in Hilbert space, and Schrödinger’s equations. The book emphasizes the Fourier transform as a unitary operator and demonstrates the applications of differentiation and integration techniques. It includes worked examples and exercises for self-study and assessment. Suitable for students of applied mathematics, physics, and engineering, as well as applied mathematicians, physicists, and theoretical engineers.

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We have put a lot of effort into researching the best books on Operators On Hilbert Spaces and came out with a recommended list and their reviews. If any more book needs to be added to this list, please email us. We are working on free pdf downloads for books on Operators On Hilbert Spaces and will publish the download link here. Fill out this Operators On Hilbert Spaces books pdf download" request form for download notification.

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