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Monday, July 27, 2020 | History

2 edition of Theory of linear operators in Hilbert space found in the catalog.

Theory of linear operators in Hilbert space

N. I. Akhiezer

Theory of linear operators in Hilbert space

by N. I. Akhiezer

  • 343 Want to read
  • 30 Currently reading

Published by Pitman Advanced Publishing Program in association with Scottish Academic Press, Edinburgh in Boston .
Written in English


Edition Notes

Translation of: Teoriya linei nykh operatorov v Gilbertovom prostranstve.

StatementN. I. Akhiezer, I. M. Glazman ; translated by E.R. Dawson ; English translation edited by W. N. Everitt. Vol. l.
ContributionsGlazman, I. M.
The Physical Object
Paginationxii, 312, xiii;xxxiip.
Number of Pages312
ID Numbers
Open LibraryOL13950605M

This classic textbook introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. It is directed to students at graduate and advanced undergraduate levels, but should prove invaluable for every mathematician and physicist. , edition. Theory of linear operators in Hilbert space, vol.2 | Akhiezer N.I., Glazman I.M. | download | B–OK. Download books for free. Find books.

The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing.   We remind the reader of basic notions and facts from the theory of Hilbert spaces and of linear operators in such spaces which are relevant to the subject of the present book. This is a preview of subscription content, log in to check : D. M. Gitman, I. V. Tyutin, B. L. Voronov.

The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of.   Title (HTML): Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space Author(s) (Product display): I. C. Gohberg ; M. G. Kreĭn Affiliation(s) (HTML).


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Theory of linear operators in Hilbert space by N. I. Akhiezer Download PDF EPUB FB2

Theory of Linear Operators in Hilbert Space and millions of other books are available for Amazon Kindle. Enter your mobile number or email address below and Theory of linear operators in Hilbert space book send you a link to download the free Kindle App.

Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device by: Even the current interest, and lively activity, in quantum measurement theory (in connection with quantum information theory) and entanglement brings back to to the fore this old issue around diagonalizing operators by passing to an "enlarged" (or dilated)Hilbert space, or looking for an orthonormal basis in the extended Hilbert space.

So the theme of the book is still current/5(10). A central theme in the book is that in case of unequal indices, there is a larger Hilbert space which does in fact admit selfadjoint extensions. The co-authors, along with Naimark, are the authorities on this.

Because of applications to PDE theory and to physics, there has been constant interest in the theme right up to the present/5(10). Theory of Linear Operators in Hilbert Space [N.

Akhiezer] on *FREE* shipping on qualifying offers. New/5(5). This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators/5(8).

study linear operators. While we will mainly work in Hilbert spaces, we state the general definitions in Banach spaces. If B is a Banach space over C with norm k k and Tis a bounded linear operator on B, i.e. T: B → B, its norm is given by kTk = sup ϕ6=0 kTϕk kϕk operator of Quantum Mechanics q= multxonCited by: 3.

Operator Theory on Hilbert spaces In this section we take a closer look at linear continuous maps between Hilbert spaces. These are often called bounded operators, and the branch of Functional Analysis that studies these objects is called “Operator Theory.” The standard notations in Operator Theory are as follows.

Notations. If H 1 and HFile Size: KB. Buy Theory of Linear Operators in Hilbert Space (Dover Books on Mathematics) New edition by Akhiezer, N. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders/5(9).

- Buy Theory of Linear Operators in Hilbert Space (Dover Books on Mathematics) book online at best prices in India on Read Theory of Linear Operators in Hilbert Space (Dover Books on Mathematics) book reviews & author details and more at Free delivery on qualified orders.4/5(9).

This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators.

It is directed to students at graduate and advanced undergraduate levels, but because of the exceptional. Get this from a library. Theory of linear operators in Hilbert space. [N I Akhiezer; I M Glazman] -- One of the classic textbooks in the field, this outstanding work introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory.

Condition: New. Paperback. This classic textbook introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint ng may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

pages. /5(8). Additional Physical Format: Online version: Akhiezer, N.I. (Naum Ilʹich), Theory of linear operators in Hilbert space. New York, F. Ungar Pub. Theory of Linear Operators in Hilbert Space. This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators.

This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint : After introducing the elementary theory of normed linear spaces--particularly Hilbert space, which is used throughout the book--the author develops the basic theory of unbounded linear operators with normed linear spaces assumed complete, employing operators assumed closed only when needed.

ISBN: OCLC Number: Notes: Two Volumes Bound As One. Data wyd.data [post ] - na podstawie cyfrowego ISBN. Frankfurt, January 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.

Theory of Linear Operators in Hilbert Space N. Akhiezer, I. Glazman The spectral theorem of David Hilbert, John von Neumann, and Marshall Stone gives a complete answer to the question of which operators admit a diogonal representation, up to unitary equivalence, and makes the question precise as well.

Chapter 1 Hilbert space. Introduction. This book is about (bounded, linear) operators on (always separable and complex) Hilbert spaces, usually denoted by H;K;Mand variants thereof, whose elements will usually denoted by symbols such as x;y;zand variants thereof (like y.

n;x0).File Size: KB. Additional Physical Format: Online version: Akhiezer, N.I. (Naum Ilʹich), Theory of linear operators in Hilbert space. Boston: Pitman Pub., ©Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

1 Theory of linear operators in Hilbert space, vol# DOWNLOAD LINK: of Linear Operators in Hilbert Space (Dover Books on Mathematics).