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A Hilbert Space Problem Book

Author : P.R. Halmos
ISBN : 9781468493306
Genre : Mathematics
File Size : 28. 17 MB
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From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem.... This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."


Author : Constance Reid
ISBN : 0387946748
Genre : Language Arts & Disciplines
File Size : 49. 95 MB
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Biography of mathematician David Hilbert.

Banach And Hilbert Spaces Of Vector Valued Functions

Author : Jacob Burbea
ISBN : 0273085980
Genre : Mathematics
File Size : 73. 95 MB
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Hilbert Courant

Author : Constance Reid
ISBN : 0387962565
Genre : Biography & Autobiography
File Size : 43. 48 MB
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David Hilbert, Director of the Mathematical Institute of G”ttingen during its glory years, is the formulator of the famous Hilbert Problems that set the course of mathematics from 1900 until the present day. In his prime, Hilbert was rivaled in influence only by the great Henri Poincare in Paris. Richard Courant was Hilbert's student and successor as director of the Mathematical Institute until his forcible removal in 1933. He co-authored Methods of Mathematical Physics (1924) with Hilbert, a classic text that seemed almost clairvoyant in its prediction of the mathematical needs of quantum physics. He also founded the Courant Institute at New York University. Poignant, lively and fascinating, these two books present a sweeping history of twentieth-century mathematics as it was expressed through the lives of these two great friends and colleagues. Constance Reid has been called 'the foremost mathematical biographer of our time.' Her many books include From Zero to Infinity, AELong Way from Euclid, The Search for E.T. Bell, and Neyman, from Life.

Quantum Mechanics In Hilbert Space

Author :
ISBN : 9780080873541
Genre : Mathematics
File Size : 38. 49 MB
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Quantum Mechanics in Hilbert Space

Hilbert Space Methods In Quantum Mechanics

Author : Werner O. Amrein
ISBN : 1420066811
Genre : Science
File Size : 63. 7 MB
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The necessary foundation in quantum mechanics is covered in this book. Topics include basic properties of Hibert spaces, scattering theory, and a number of applications such as the S-matrix, time delay, and the Flux-Across-Surfaces Theorem.

Hilbert C Modules

Author : Vladimir Markovich Manuĭlov
ISBN : 0821889664
Genre : Mathematics
File Size : 44. 14 MB
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Based on lectures delivered by the authors at Moscow State University, this volume presents a detailed introduction to the theory of Hilbert $C*$-modules. Hilbert $C*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C $ is replaced by an arbitrary $C*$-algebra. The general theory of Hilbert $C*$-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool inoperator algebras theory, index theory of elliptic operators, $K$- and $KK$-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert $C*$-modules is interesting on its own. In this book, the authors explain in detail the basic notions and results of thetheory, and provide a number of important examples. Some results related to the authors' research interests are also included. A large part of the book is devoted to structural results (self-duality, reflexivity) and to nonadjointable operators. Most of the book can be read with only a basic knowledge of functional analysis; however, some experience in the theory of operator algebras makes reading easier.

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