1. / M. Takesaki
| 1. / M. Takesaki |
| Autore | Takesaki, Masamichi |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1979 |
| Descrizione fisica | viii, 418 p. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46L10 - General theory of von Neumann algebras [MSC 2020] 46L05 - General theory of C*-algebras [MSC 2020] 46L53 - Noncommutative probability and statistics [MSC 2020] 46L54 - Free probability and free operator algebras [MSC 2020] 46L35 - Classifications of C* -algebras [MSC 2020] 46L51 - Noncommutative measure and integration [MSC 2020] |
| Soggetto non controllato |
Algebra
Calculus Hilbert spaces Operator algebra Operator theory Operators |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268301 |
Takesaki, Masamichi
|
||
| New York, : Springer-Verlag, 1979 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
1/ Masamichi Takesaki
| 1/ Masamichi Takesaki |
| Autore | Takesaki, Masamichi |
| Pubbl/distr/stampa | New York [etc.], : Springer, 1979 |
| Descrizione fisica | viii, 418 p. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46L05 - General theory of C*-algebras [MSC 2020] 46L10 - General theory of von Neumann algebras [MSC 2020] 46L35 - Classifications of C* -algebras [MSC 2020] 46L51 - Noncommutative measure and integration [MSC 2020] 46L53 - Noncommutative probability and statistics [MSC 2020] 46L54 - Free probability and free operator algebras [MSC 2020] |
| Soggetto non controllato |
Algebra
Calculus Hilbert spaces Operator algebra Operator theory Operators |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Mathematics for infinite dimensional objects is becoming more and more important today both in theory and application. Rings of operators, renamed von Neumann algebras by J. Dixmier, were first introduced by J. von Neumann fifty years ago, 1929, in [254] with his grand aim of giving a sound founda tion to mathematical sciences of infinite nature. J. von Neumann and his collaborator F. J. Murray laid down the foundation for this new field of mathematics, operator algebras, in a series of papers, [240], [241], [242], [257] and [259], during the period of the 1930s and early in the 1940s. In the introduction to this series of investigations, they stated Their solution 1 {to the problems of understanding rings of operators) seems to be essential for the further advance of abstract operator theory in Hilbert space under several aspects. First, the formal calculus with operator-rings leads to them. Second, our attempts to generalize the theory of unitary group-representations essentially beyond their classical frame have always been blocked by the unsolved questions connected with these problems. Third, various aspects of the quantum mechanical formalism suggest strongly the elucidation of this subject. Fourth, the knowledge obtained in these investigations gives an approach to a class of abstract algebras without a finite basis, which seems to differ essentially from all types hitherto investigated. Since then there has appeared a large volume of literature, and a great deal of progress has been achieved by many mathematicians. |
| Record Nr. | UNICAMPANIA-VAN00268301 |
Takesaki, Masamichi
|
||
| New York [etc.], : Springer, 1979 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
4: Quantum Mechanics of Large Systems / Walter Thirring ; Translated by Evans M. Harrell
| 4: Quantum Mechanics of Large Systems / Walter Thirring ; Translated by Evans M. Harrell |
| Autore | Thirring, Walter |
| Pubbl/distr/stampa | Wien, : Springer, 1983 |
| Descrizione fisica | x, 290 p. : ill. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46L30 - States of selfadjoint operator algebras [MSC 2020] 46L35 - Classifications of C* -algebras [MSC 2020] 46L51 - Noncommutative measure and integration [MSC 2020] 46L53 - Noncommutative probability and statistics [MSC 2020] 46L54 - Free probability and free operator algebras [MSC 2020] 46L55 - Noncommutative dynamical systems [MSC 2020] 46L60 - Applications of selfadjoint operator algebras to physics [MSC 2020] 46Nxx - Miscellaneous applications of functional analysis [MSC 2020] 81-XX - Quantum theory [MSC 2020] 82-XX - Statistical mechanics, structure of matter [MSC 2020] 82B30 - Statistical thermodynamics [MSC 2020] 82B35 - Irreversible thermodynamics, including Onsager-Machlup theory [MSC 2020] 85A05 - Galactic and stellar dynamics [MSC 2020] 85A15 - Galactic and stellar structure [MSC 2020] |
| Soggetto non controllato |
Mathematical physics
Mechanics large |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | In this final volume I have tried to present the subject of statistical mechanics in accordance with the basic principles of the series. The effort again entailed following Gustav Mahler's maxim, "Tradition = Schlamperei" (i.e., filth) and clearing away a large portion of this tradition-laden area. The result is a book with little in common with most other books on the subject. The ordinary perturbation-theoretic calculations are not very useful in this field. Those methods have never led to propositions of much substance. Even when perturbation series, which for the most part never converge, can be given some asymptotic meaning, it cannot be determined how close the nth order approximation comes to the exact result. Since analytic solutions of nontrivial problems are beyond human capabilities, for better or worse we must settle for sharp bounds on the quantities of interest, and can at most strive to make the degree of accuracy satisfactory. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00269261 |
Thirring, Walter
|
||
| Wien, : Springer, 1983 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An Invitation to von Neumann Algebras / V. S. Sunder
| An Invitation to von Neumann Algebras / V. S. Sunder |
| Autore | Sunder, Viakalathur Shankar |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1987 |
| Descrizione fisica | xiv, 172 p. : ill. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46L10 - General theory of von Neumann algebras [MSC 2020] 46L55 - Noncommutative dynamical systems [MSC 2020] 46L53 - Noncommutative probability and statistics [MSC 2020] 46L54 - Free probability and free operator algebras [MSC 2020] 46L35 - Classifications of C* -algebras [MSC 2020] 46L51 - Noncommutative measure and integration [MSC 2020] |
| Soggetto non controllato |
Integration
Minimum Operator Operator theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268924 |
Sunder, Viakalathur Shankar
|
||
| New York, : Springer-Verlag, 1987 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An Invitation to von Neumann Algebras / V. S. Sunder
| An Invitation to von Neumann Algebras / V. S. Sunder |
| Autore | Sunder, Viakalathur S. |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1987 |
| Descrizione fisica | xiv, 172 p. : ill. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46L10 - General theory of von Neumann algebras [MSC 2020] 46L35 - Classifications of C* -algebras [MSC 2020] 46L51 - Noncommutative measure and integration [MSC 2020] 46L53 - Noncommutative probability and statistics [MSC 2020] 46L54 - Free probability and free operator algebras [MSC 2020] 46L55 - Noncommutative dynamical systems [MSC 2020] |
| Soggetto non controllato |
Integrations
Minimum Operator Operator theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Why This Book: The theory of von Neumann algebras has been growing in leaps and bounds in the last 20 years. It has always had strong connections with ergodic theory and mathematical physics. It is now beginning to make contact with other areas such as differential geometry and K-Theory. There seems to be a strong case for putting together a book which (a) introduces a reader to some of the basic theory needed to appreciate the recent advances, without getting bogged down by too much technical detail; (b) makes minimal assumptions on the reader's background; and (c) is small enough in size to not test the stamina and patience of the reader. This book tries to meet these requirements. In any case, it is just what its title proclaims it to be -- an invitation to the exciting world of von Neumann algebras. It is hoped that after perusing this book, the reader might be tempted to fill in the numerous (and technically, capacious) gaps in this exposition, and to delve further into the depths of the theory. For the expert, it suffices to mention here that after some preliminaries, the book commences with the Murray - von Neumann classification of factors, proceeds through the basic modular theory to the III). classification of Connes, and concludes with a discussion of crossed-products, Krieger's ratio set, examples of factors, and Takesaki's duality theorem. |
| Record Nr. | UNICAMPANIA-VAN00268924 |
Sunder, Viakalathur S.
|
||
| New York, : Springer-Verlag, 1987 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Gleason's Theorem and Its Applications / by Anatolij Dvurečenskij
| Gleason's Theorem and Its Applications / by Anatolij Dvurečenskij |
| Autore | Dvurečenskij, Anatolij |
| Pubbl/distr/stampa | Dordrecht, : Springer, : Kluwer ; Bratislava, : Ister Science, 1993 |
| Descrizione fisica | xv, 325 p. ; 24 cm |
| Soggetto topico |
03G12 - Quantum logic [MSC 2020]
46-XX - Functional analysis [MSC 2020] 46G10 - Vector-valued measures and integration [MSC 2020] 46L51 - Noncommutative measure and integration [MSC 2020] 46L53 - Noncommutative probability and statistics [MSC 2020] 46L54 - Free probability and free operator algebras [MSC 2020] |
| Soggetto non controllato |
Finite
Lattices Measure Theory Probability Theory Proofs Quantum Mechanics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00291170 |
Dvurečenskij, Anatolij
|
||
| Dordrecht, : Springer, : Kluwer ; Bratislava, : Ister Science, 1993 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Noncommutative Probability / by I. Cuculescu and A. G. Oprea
| Noncommutative Probability / by I. Cuculescu and A. G. Oprea |
| Autore | Cuculescu, Ion |
| Pubbl/distr/stampa | Dordrecht, : Springer, : Kluwer, 1994 |
| Descrizione fisica | xiv, 353 p. ; 24 cm |
| Altri autori (Persone) | Oprea, Ana G. |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46L51 - Noncommutative measure and integration [MSC 2020] 46L53 - Noncommutative probability and statistics [MSC 2020] 46L54 - Free probability and free operator algebras [MSC 2020] 60F20 - Zero-one laws [MSC 2020] 60H05 - Stochastic integrals [MSC 2020] |
| Soggetto non controllato |
Functional Analysis
Operator algebra Probability Probability Theory Stochastic Calculus |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00292517 |
Cuculescu, Ion
|
||
| Dordrecht, : Springer, : Kluwer, 1994 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Noncommutative stationary processes / Rolf Gohm
| Noncommutative stationary processes / Rolf Gohm |
| Autore | Gohm, Rolf |
| Pubbl/distr/stampa | Berlin, : Springer, 2004 |
| Descrizione fisica | VIII, 170 p. ; 24 cm. |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46L55 - Noncommutative dynamical systems [MSC 2020] 46L53 - Noncommutative probability and statistics [MSC 2020] 46L54 - Free probability and free operator algebras [MSC 2020] |
| ISBN | 8-3-540-20926-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0044190 |
Gohm, Rolf
|
||
| Berlin, : Springer, 2004 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Noncommutative stationary processes / Rolf Gohm
| Noncommutative stationary processes / Rolf Gohm |
| Autore | Gohm, Rolf |
| Pubbl/distr/stampa | Berlin, : Springer, 2004 |
| Descrizione fisica | VIII, 170 p. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46L55 - Noncommutative dynamical systems [MSC 2020] 46L53 - Noncommutative probability and statistics [MSC 2020] 46L54 - Free probability and free operator algebras [MSC 2020] |
| Soggetto non controllato |
Adapted endomorphism
Completely positive Dilation Extension Markov Processes Markov property Noncommutative stationary processes |
| ISBN | 978-35-402-0926-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0044190 |
Gohm, Rolf
|
||
| Berlin, : Springer, 2004 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Noncommutative stationary processes / Rolf Gohm
| Noncommutative stationary processes / Rolf Gohm |
| Autore | Gohm, Rolf |
| Pubbl/distr/stampa | Berlin, : Springer, 2004 |
| Descrizione fisica | VIII, 170 p. ; 24 cm |
| Soggetto topico |
46-XX - Functional analysis [MSC 2020]
46L53 - Noncommutative probability and statistics [MSC 2020] 46L54 - Free probability and free operator algebras [MSC 2020] 46L55 - Noncommutative dynamical systems [MSC 2020] |
| Soggetto non controllato |
Adapted Endomorphism
Completely Positive Dilation Extensions Markov Processes Markov property Noncommutative stationary processes |
| ISBN | 978-35-402-0926-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00044190 |
Gohm, Rolf
|
||
| Berlin, : Springer, 2004 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||