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Linear Transformations In Hilbert Space And Their Applications To Analysis
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Book Synopsis Linear Transformations in Hilbert Space and Their Applications to Analysis by : Marshall Harvey Stone
Download or read book Linear Transformations in Hilbert Space and Their Applications to Analysis written by Marshall Harvey Stone and published by American Mathematical Soc.. This book was released on 1932-12-31 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Transformations in Hilbert Space and Their Applications to Analysis by : M.H. Stone
Download or read book Linear Transformations in Hilbert Space and Their Applications to Analysis written by M.H. Stone and published by . This book was released on 1932 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Transformations in Hilbert Space and Their Applications to Analysis by : Marshall Harvey STONE
Download or read book Linear Transformations in Hilbert Space and Their Applications to Analysis written by Marshall Harvey STONE and published by . This book was released on 1974 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Transformations in Hilbert Space and Their Applications to Analysis by : Marshall Harvey Stone
Download or read book Linear Transformations in Hilbert Space and Their Applications to Analysis written by Marshall Harvey Stone and published by . This book was released on 1932 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 by : Francis Joseph Murray
Download or read book An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 written by Francis Joseph Murray and published by Princeton University Press. This book was released on 2016-03-02 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4, will be forthcoming.
Book Synopsis An Introduction to Linear Transformations in Hilbert Space by : Francis J. Murray
Download or read book An Introduction to Linear Transformations in Hilbert Space written by Francis J. Murray and published by . This book was released on 1941 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Extensions of Linear Transformations in Hilbert Space which Extend Beyond this Space by : Béla Szőkefalvi-Nagy
Download or read book Extensions of Linear Transformations in Hilbert Space which Extend Beyond this Space written by Béla Szőkefalvi-Nagy and published by . This book was released on 1960 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The New Era in American Mathematics, 1920–1950 by : Karen Hunger Parshall
Download or read book The New Era in American Mathematics, 1920–1950 written by Karen Hunger Parshall and published by Princeton University Press. This book was released on 2022-02-22 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The 1920s witnessed the birth of a serious mathematical research community in America. Prior to this, mathematical research was dominated by scholars based in Europe-but World War I had made the importance of scientific and technological development clear to the American research community, resulting in the establishment of new scientific initiatives and infrastructure. Physics and chemistry were the beneficiaries of this renewed scientific focus, but the mathematical community also benefitted, and over time, began to flourish. Over the course of the next two decades, despite significant obstacles, this constellation of mathematical researchers, programs, and government infrastructure would become one of the strongest in the world. In this meticulously-researched book, Karen Parshall documents the uncertain, but ultimately successful, rise of American mathematics during this time. Drawing on research carried out in archives around the country and around the world, as well as on the secondary literature, she reveals how geopolitical circumstances shifted the course of international mathematics. She provides surveys of the mathematical research landscape in the 1920s, 30s, and 40s, introduces the key players and institutions in mathematics at that time, and documents the effect of the Great Depression and the second world war on the international mathematical community. The result is a comprehensive account of the shift of mathematics' "center of gravity" to the American stage"--
Book Synopsis An Introduction to Linear Transformations in Hilbert Space by : Francis Joseph Murray
Download or read book An Introduction to Linear Transformations in Hilbert Space written by Francis Joseph Murray and published by . This book was released on 1966 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law by : Ilwoo Cho
Download or read book Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law written by Ilwoo Cho and published by Elsevier. This book was released on 2023-04-21 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law, the authors consider the so-called free Hilbert spaces, which are the Hilbert spaces induced by the usual l2 Hilbert spaces and operators acting on them. The construction of these operators itself is interesting and provides new types of Hilbert-space operators. Also, by considering spectral-theoretic properties of these operators, the authors illustrate how “free-Hilbert-space Operator Theory is different from the classical Operator Theory. More interestingly, the authors demonstrate how such operators affect the semicircular law induced by the ONB-vectors of a fixed free Hilbert space. Different from the usual approaches, this book shows how “inside actions of operator algebra deform the free-probabilistic information—in particular, the semicircular law. Presents the spectral properties of three types of operators on a Hilbert space, in particular how these operators affect the semicircular law Demonstrates how the semicircular law is deformed by actions "from inside", as opposed to actions "from outside" considered by previous theory Explores free Hilbert spaces and their modeling applications Authored by two leading researchers in Operator Theory and Operator Algebra
Book Synopsis From Euclidean to Hilbert Spaces by : Edoardo Provenzi
Download or read book From Euclidean to Hilbert Spaces written by Edoardo Provenzi and published by John Wiley & Sons. This book was released on 2021-08-24 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences between the properties of the finite and infinite dimensions, noting the fundamental importance of coherence between the algebraic and topological structure, which makes Hilbert spaces the infinite-dimensional objects most closely related to Euclidian spaces. The common thread of this book is the Fourier transform, which is examined starting from the discrete Fourier transform (DFT), along with its applications in signal and image processing, passing through the Fourier series and finishing with the use of the Fourier transform to solve differential equations. The geometric structure of Hilbert spaces and the most significant properties of bounded linear operators in these spaces are also covered extensively. The theorems are presented with detailed proofs as well as meticulously explained exercises and solutions, with the aim of illustrating the variety of applications of the theoretical results.
Book Synopsis Introduction to Hilbert Space by : Sterling K. Berberian
Download or read book Introduction to Hilbert Space written by Sterling K. Berberian and published by American Mathematical Soc.. This book was released on 1999 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: ``This textbook has evolved from a set of lecture notes ... In both the course and the book, I have in mind first- or second-year graduate students in Mathematics and related fields such as Physics ... It is necessary for the reader to have a foundation in advanced calculus which includes familiarity with: least upper bound (LUB) and greatest lower bound (GLB), the concept of function, $\epsilon$'s and their companion $\delta$'s, and basic properties of sequences of real and complex numbers (convergence, Cauchy's criterion, the Weierstrass-Bolzano theorem). It is not presupposed that the reader is acquainted with vector spaces ... , matrices ... , or determinants ... There are over four hundred exercises, most of them easy ... It is my hope that this book, aside from being an exposition of certain basic material on Hilbert space, may also serve as an introduction to other areas of functional analysis.''
Book Synopsis Hilbert Space Operators by : Carlos S. Kubrusly
Download or read book Hilbert Space Operators written by Carlos S. Kubrusly and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained work on Hilbert space operators takes a problem-solving approach to the subject, combining theoretical results with a wide variety of exercises that range from the straightforward to the state-of-the-art. Complete solutions to all problems are provided. The text covers the basics of bounded linear operators on a Hilbert space and gradually progresses to more advanced topics in spectral theory and quasireducible operators. Written in a motivating and rigorous style, the work has few prerequisites beyond elementary functional analysis, and will appeal to graduate students and researchers in mathematics, physics, engineering, and related disciplines.
Book Synopsis Commutation Properties of Hilbert Space Operators and Related Topics by : Calvin R. Putnam
Download or read book Commutation Properties of Hilbert Space Operators and Related Topics written by Calvin R. Putnam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta tion relations occurring there. Here A and B were unbounded self-adjoint operators satisfying the relation AB - BA = iI, in some appropriate sense, and the problem was that of establishing the essential uniqueness of the pair A and B. The study of commutators of bounded operators on a Hilbert space has a more recent origin, which can probably be pinpointed as the paper of Wintner [6] {1947}. An investigation of a few related topics in the subject is the main concern of this brief monograph. The ensuing work considers commuting or "almost" commuting quantities A and B, usually bounded or unbounded operators on a Hilbert space, but occasionally regarded as elements of some normed space. An attempt is made to stress the role of the commutator AB - BA, and to investigate its properties, as well as those of its components A and B when the latter are subject to various restrictions. Some applica tions of the results obtained are made to quantum mechanics, perturba tion theory, Laurent and Toeplitz operators, singular integral trans formations, and Jacobi matrices.
Book Synopsis Introduction to Hilbert Space and the Theory of Spectral Multiplicity by : Paul R. Halmos
Download or read book Introduction to Hilbert Space and the Theory of Spectral Multiplicity written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2017-11-15 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. A background in measure theory is the sole prerequisite. 1957 edition.
Book Synopsis Linear Operators in Hilbert Spaces by : Joachim Weidmann
Download or read book Linear Operators in Hilbert Spaces written by Joachim Weidmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.
Book Synopsis Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory by : Palle Jorgensen
Download or read book Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory written by Palle Jorgensen and published by World Scientific. This book was released on 2021-01-15 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.
