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Cover for 9780387963914 Cover for 9780521635325 Cover for 9781461395744 Cover for 9783540614432 Cover for 9783642082573 Cover for 9780821853023 Cover for 9780821839478 Cover for 9780444703217 Cover for 9780486466651 Cover for 9780821840429 Cover for 9780821842423 Cover for 9783540399445 Cover for 9780821838235 Cover for 9780821837689 Cover for 9780821835364 Cover for 9789812383808 Cover for 9780521816694 Cover for 9781402010255 Cover for 9783540170938 Cover for 9780817638900 Cover for 9780444506214 Cover for 9780821819166 Cover for 9783540664611 Cover for 9780817640514 Cover for 9783540651949 Cover for 9780198511755 Cover for 9780821805220 Cover for 9780821809082

Hardcover:

9780387170930, titled "Operator Algebras and Quantum Statistical Mechanics 1: C*- And W*- Algebras Symmetry Groups Decomposition of States" | 2nd edition (Springer Verlag, March 1, 1987), cover price $125.00 | also contains Operator Algebras and Quantum Statistical Mechanics 1: C*- And W*- Algebras Symmetry Groups Decomposition of States

cover image for 9781461395744

Hardcover:

9780387963914 | Springer Verlag, July 1, 1986, cover price $99.00 | also contains How Did I Get Here?: Making Peace With the Road Not Taken

Paperback:

9781461395744 | Reprint edition (Springer Verlag, December 14, 2011), cover price $139.00
9780521635325 | 2 sub edition (Cambridge Univ Pr, December 1, 1998), cover price $64.99

cover image for 9783642082573
Product Description: For almost two decades, this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. Major changes in the new edition relate to Bose-Einstein condensation, the dynamics of the X-Y model and questions on phase transitions.

Hardcover:

9783540614432 | 2 sub edition (Springer Verlag, April 1, 1997), cover price $189.00 | About this edition: For almost two decades, this has been the classical textbook on applications of operator algebra theory to quantum statistical physics.

Paperback:

9783642082573, titled "Operator Algebras and Quantum Statistical Mechanics 2: Equilibrium States. Models in Quantum Statistical Mechanics" | 2 edition (Springer Verlag, December 12, 2011), cover price $189.00 | About this edition: For almost two decades, this has been the classical textbook on applications of operator algebra theory to quantum statistical physics.

cover image for 9780821853023
Product Description: "January 2011, volume 209, number 982 (first of 5 numbers)."

Paperback:

9780821853023 | Amer Mathematical Society, February 28, 2011, cover price $63.00 | About this edition: "January 2011, volume 209, number 982 (first of 5 numbers).

cover image for 9780821839478
Product Description: In the early 1980's topologists and geometers for the first time came across unfamiliar words like $C^*$-algebras and von Neumann algebras through the discovery of new knot invariants (by V. F. R. Jones) or through a remarkable result on the relationship between characteristic classes of foliations and the types of certain von Neumann algebras...read more

Hardcover:

9780821839478 | Amer Mathematical Society, December 19, 2008, cover price $73.00 | About this edition: In the early 1980's topologists and geometers for the first time came across unfamiliar words like $C^*$-algebras and von Neumann algebras through the discovery of new knot invariants (by V.

cover image for 9780821840429
Product Description: The goal of this text is to review recent advances and to present new results in the numerical analysis of the finite sections method for general band and band-dominated operators. The main topics are the stability of the finite sections method and the asymptotic behavior of singular values...read more

Paperback:

9780821840429 | Amer Mathematical Society, December 28, 2007, cover price $68.00 | About this edition: The goal of this text is to review recent advances and to present new results in the numerical analysis of the finite sections method for general band and band-dominated operators.

cover image for 9780821842423
Product Description: The theory of crossed products is extremely rich and intriguing. There are applications not only to operator algebras, but to subjects as varied as noncommutative geometry and mathematical physics. This book provides a detailed introduction to this vast subject suitable for graduate students and others whose research has contact with crossed product $C^*$-algebras...read more

Hardcover:

9780821842423 | Amer Mathematical Society, March 1, 2007, cover price $112.00 | About this edition: The theory of crossed products is extremely rich and intriguing.

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Product Description: The territory of preserver problems has grown continuously within linear analysis. This book presents a cross-section of the modern theory of preservers on infinite dimensional spaces (operator spaces and function spaces) through the author's corresponding results...read more

Paperback:

9783540399445 | Springer Verlag, November 30, 2006, cover price $69.95 | About this edition: The territory of preserver problems has grown continuously within linear analysis.

cover image for 9780821838235
Product Description: The theory of one-sided $M$-ideals and multipliers of operator spaces is simultaneously a generalization of classical $M$-ideals, ideals in operator algebras, and aspects of the theory of Hilbert $C^*$-modules and their maps. Here we give a systematic exposition of this theory...read more

Paperback:

9780821838235 | Amer Mathematical Society, January 1, 2006, cover price $68.00 | About this edition: The theory of one-sided $M$-ideals and multipliers of operator spaces is simultaneously a generalization of classical $M$-ideals, ideals in operator algebras, and aspects of the theory of Hilbert $C^*$-modules and their maps.

cover image for 9780821837689
Product Description: We present a multivariable setting for Lax-Phillips scattering and for conservative, discrete-time, linear systems. The evolution operator for the Lax-Phillips scattering system is an isometric representation of the Cuntz algebra, while the nonnegative time axis for the conservative, linear system is the free semigroup on $d$ letters...read more

Paperback:

9780821837689 | Amer Mathematical Society, November 1, 2005, cover price $66.00 | About this edition: We present a multivariable setting for Lax-Phillips scattering and for conservative, discrete-time, linear systems.

Hardcover:

9780821839270 | Amer Mathematical Society, September 1, 2005, cover price $80.00

cover image for 9780821835364
Product Description: In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operators on manifolds. This collection of papers, resulting from a Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, provides a broad picture of these methods with new results...read more

Paperback:

9780821835364 | Amer Mathematical Society, January 1, 2005, cover price $103.00 | About this edition: In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operators on manifolds.

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Product Description: The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a natural and interesting problem: How is the theory in the field of real numbers? Up to now, the theory of operator algebras over the field of real numbers has seemed not to be introduced systematically and sufficiently...read more

Hardcover:

9789812383808 | World Scientific Pub Co Inc, August 1, 2003, cover price $133.00 | About this edition: The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces.

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Product Description: Algebras of bounded operators are familiar, either as C*-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O*-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K...read more

Hardcover:

9781402010255 | Kluwer Academic Pub, December 1, 2002, cover price $139.00 | About this edition: Algebras of bounded operators are familiar, either as C*-algebras or as von Neumann algebras.

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Product Description: In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics. Subsequently we describe various applications to quantum statistical mechanics...read more

Hardcover:

9783540170938 | 2 reprint edition (Springer Verlag, March 1, 2002), cover price $189.00 | About this edition: In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics.
9780387170930 | 2nd edition (Springer Verlag, March 1, 1987), cover price $125.00 | also contains Galveston's Maceo Family Empire: Bootlegging & the Balinese Room

cover image for 9780444506214
Product Description: About four years ago a prominent string theorist was quoted as saying that it might be possible to understand quantum mechanics by the year 2000. Sometimes new mathematical developments make such understanding appear possible and even close, but on the other hand, increasing lack of experimental verification make it seem to be further distant...read more (view table of contents, read Amazon.com's description)

Hardcover:

9780444506214 | North-Holland, November 1, 2000, cover price $195.00 | About this edition: About four years ago a prominent string theorist was quoted as saying that it might be possible to understand quantum mechanics by the year 2000.

cover image for 9780821819166
Product Description: We employ recent advances in the theory of operator spaces, also known as quantized functional analysis, to provide a context in which one can compare categories of modules over operator algebras that are not necessarily self-adjoint...read more (view table of contents, read Amazon.com's description)

Paperback:

9780821819166 | Amer Mathematical Society, December 1, 1999, cover price $51.00 | About this edition: We employ recent advances in the theory of operator spaces, also known as quantized functional analysis, to provide a context in which one can compare categories of modules over operator algebras that are not necessarily self-adjoint.

cover image for 9783540664611
Product Description: This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections...read more (view table of contents, read Amazon.com's description)

Paperback:

9783540664611 | Springer Verlag, November 1, 1999, cover price $49.99 | About this edition: This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections.

cover image for 9783540651949
Product Description: These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms...read more

Paperback:

9783540651949 | Springer-Verlag New York Inc, November 1, 1998, cover price $69.99 | About this edition: These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics.

cover image for 9780198511755
Product Description: In the last 20 years, the study of operator algebras has developed from a branch of functional analysis to a central field of mathematics with applications in both pure mathematics and mathematical physics. The theory was initiated by von Neumann and Murray as a tool for studying group representations and as a framework for quantum mechanics, and has since kept in touch with its roots in physics as a framework for quantum statistical mechanics and the formalism of algebraic quantum field theory...read more (view table of contents, read Amazon.com's description)

Hardcover:

9780198511755 | Oxford Univ Pr on Demand, July 30, 1998, cover price $330.00 | About this edition: In the last 20 years, the study of operator algebras has developed from a branch of functional analysis to a central field of mathematics with applications in both pure mathematics and mathematical physics.

cover image for 9780821809082
Product Description: The study of operator algebras, which grew out of von Neumann's work in the 1920s and 30s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality, with significant applications in other areas both within mathematics and in other fields...read more
By Peter A. Fillmore (editor)

Hardcover:

9780821809082 | Amer Mathematical Society, July 1, 1998, cover price $59.00 | About this edition: The study of operator algebras, which grew out of von Neumann's work in the 1920s and 30s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality, with significant applications in other areas both within mathematics and in other fields.
9780821805220 | Amer Mathematical Society, July 1, 1997, cover price $101.00 | About this edition: The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality.

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