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標(biāo)題: Titlebook: Geometry of State Spaces of Operator Algebras; Erik M. Alfsen,Frederic W. Shultz Textbook 2003 Springer Science+Business Media New York 20 [打印本頁]

作者: 聲音會爆炸    時間: 2025-3-21 16:09
書目名稱Geometry of State Spaces of Operator Algebras影響因子(影響力)




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作者: Sad570    時間: 2025-3-21 21:49

作者: 帶子    時間: 2025-3-22 02:38
Structure of JBW-algebrasay–von Neumann equivalence of projections in von Neumann algebras.) We will define the notion of type I and type I.JBW-algebras, and describe the classification of type I.JBW-factors. (For the sake of brevity, most of these results will be stated without proof, with references given to [67].) Finall
作者: 流浪    時間: 2025-3-22 05:40
Representations of JB-algebrasat there is one crucial difference compared to the situation for C*- algebras: not every JB-algebra admits such a concrete representation. The “Gelfand–Naimark” type theorem (Theorem 4.19) states that there is a certain exceptional ideal, and modulo that ideal every JB-algebra admits a concrete repr
作者: Immortal    時間: 2025-3-22 08:42
Dynamical Correspondencesespondence of observables and generators of one-parameter groups of automorphisms in quantum mechanics. It is closely related to Connes’ concept of orientation [36, Definition 4.11] that he used as a key property in his characterization of the natural self-dual cones associated with von Neumann alge
作者: Traumatic-Grief    時間: 2025-3-22 15:36
General Compressions be strengthened to characterize the state spaces of Jordan and C.-algebras. The first part of this program is to establish a satisfactory spectral theory and functional calculus. Here the guiding idea is to replace projections.by “projective units”.P1 determined by “general compressions”.defined by
作者: Traumatic-Grief    時間: 2025-3-22 21:00

作者: 易于    時間: 2025-3-22 21:56
Characterization of Normal State Spaces of von Neumann Algebrasl state spaces of JBW-factors of type I by geometric axioms, among those the Hilbert ball property by which the face generated by each pair of extreme points is a Hilbert ball. In the case of.these balls will be 3-dimensional (A 120), and this “3-ball property” is the single additional property we n
作者: 紋章    時間: 2025-3-23 04:55
Characterization of C*-algebra State SpacesC.-algebras have an identity, but our characterization can easily be adapted for non-unital algebras). We will start with our previous charac-terization of state spaces of JB-algebras (Theorem 9.38). Then we will add two additional properties that characterize C.-state spaces among state spaces of J
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作者: Condescending    時間: 2025-3-23 13:09
Verband der Seifenfabrikanten Deutschlands special case. In this chapter we will develop basic facts about JBW-algebras. We begin with the definition and the relevant topologies. Then we introduce an abstract notion of range projection, and a spectral theorem for JBW-algebras, derived from the spectral theorem for monotone complete.(X)(A 39
作者: 阻塞    時間: 2025-3-23 15:05

作者: Medley    時間: 2025-3-23 18:39
Einige Cephalothoracopagi bei S?ugetierenat there is one crucial difference compared to the situation for C*- algebras: not every JB-algebra admits such a concrete representation. The “Gelfand–Naimark” type theorem (Theorem 4.19) states that there is a certain exceptional ideal, and modulo that ideal every JB-algebra admits a concrete repr
作者: Oratory    時間: 2025-3-23 23:27

作者: Sigmoidoscopy    時間: 2025-3-24 03:54
,Einige Probleme des Zivilproze?rechts, be strengthened to characterize the state spaces of Jordan and C.-algebras. The first part of this program is to establish a satisfactory spectral theory and functional calculus. Here the guiding idea is to replace projections.by “projective units”.P1 determined by “general compressions”.defined by
作者: 顯微鏡    時間: 2025-3-24 09:56
https://doi.org/10.1007/978-3-663-04789-6 that each exposed face of the distinguished base.of.is projective. If.,.is such a pair, then we will say they satisfy.This hypothesis is satisfied when A is the self-adjoint part of a von Neumann algebra and.is the self -adjoint part of its predual, and also when A is a JBW-algebra and V is its pre
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作者: installment    時間: 2025-3-25 00:05
https://doi.org/10.1007/978-3-322-98969-7In this chapter we will discuss properties of the normal state space of JBW-algebras. Since every JB-algebra state space is also the normal state space of a JBW-algebra (Corollary 2.61), these properties also apply to JB-algebra state spaces.
作者: MAOIS    時間: 2025-3-25 04:59
Ueber die elektrische Beleuchtung,In this chapter we will give a characterization of the state spaces of JB-algebras and of normal state spaces of JBW-algebras. As a preliminary step, we will characterize the normal state spaces of JBW-factors of type I. (This includes as a special case a characterization of the normal state space of.
作者: 剝皮    時間: 2025-3-25 09:11

作者: 流動性    時間: 2025-3-25 15:07
Characterization of Jordan Algebra State SpacesIn this chapter we will give a characterization of the state spaces of JB-algebras and of normal state spaces of JBW-algebras. As a preliminary step, we will characterize the normal state spaces of JBW-factors of type I. (This includes as a special case a characterization of the normal state space of.
作者: Lyme-disease    時間: 2025-3-25 16:38

作者: 專橫    時間: 2025-3-25 20:29

作者: output    時間: 2025-3-26 04:00
978-1-4612-6575-7Springer Science+Business Media New York 2003
作者: Genteel    時間: 2025-3-26 07:05
Erik M. Alfsen,Frederic W. ShultzGives a quick introduction to Jordan algebras; no previous knowledge is assumed and all necessary background on the subject is given.A discussion of dynamical correspondences, which tie together Lie a
作者: 裂縫    時間: 2025-3-26 10:04

作者: 遺傳學(xué)    時間: 2025-3-26 14:17
Textbook 2003ves an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and resul
作者: CARK    時間: 2025-3-26 17:44
JBW-algebrasn isomorphism, and to show that skew order derivations are in fact Jordan derivations. We prove that every JBW-algebra has a unique predual consisting of the normal linear function-als. Then we develop some basic facts about JW-algebras (a-weakly closed subalgebras of β.and we finish this chapter wi
作者: DUST    時間: 2025-3-26 22:54
well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and resul978-1-4612-6575-7978-1-4612-0019-2
作者: 增減字母法    時間: 2025-3-27 03:21

作者: 甜瓜    時間: 2025-3-27 06:18
Einheitliche H?here Kommunikationsprotokolle in our axiomatic investigations in Part II. This is followed by a discussion of operator commutativity (the Jordan analog of the associative notion of commutativity).The chapter ends with basic facts about order derivations on JB-algebras.(In Chapter 6, we will discuss order derivations in more detail.)
作者: Morphine    時間: 2025-3-27 12:00

作者: Certainty    時間: 2025-3-27 16:36

作者: Common-Migraine    時間: 2025-3-27 20:51

作者: Ergots    時間: 2025-3-28 01:59

作者: Banquet    時間: 2025-3-28 02:32

作者: 尊重    時間: 2025-3-28 07:01

作者: COST    時間: 2025-3-28 13:46
JB-algebras in our axiomatic investigations in Part II. This is followed by a discussion of operator commutativity (the Jordan analog of the associative notion of commutativity).The chapter ends with basic facts about order derivations on JB-algebras.(In Chapter 6, we will discuss order derivations in more detail.)
作者: orthopedist    時間: 2025-3-28 15:28
Representations of JB-algebrasd–Naimark” type theorem (Theorem 4.19) states that there is a certain exceptional ideal, and modulo that ideal every JB-algebra admits a concrete representation, i.e., is a JC-algebra. uch products. Since
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作者: 結(jié)果    時間: 2025-3-29 05:12

作者: COMA    時間: 2025-3-29 07:55
Characterization of Normal State Spaces of von Neumann Algebras points is a Hilbert ball. In the case of.these balls will be 3-dimensional (A 120), and this “3-ball property” is the single additional property we need to characterize the normal state space of.(Theorem 10.2).
作者: airborne    時間: 2025-3-29 14:17

作者: PARA    時間: 2025-3-29 18:23

作者: 情感脆弱    時間: 2025-3-29 20:47
2661-8672 archers, advanced undergraduate and postgraduate students in social policy, employment relations, public policy, social and political history, and comparative politics...?.978-3-030-42056-7978-3-030-42054-3Series ISSN 2661-8672 Series E-ISSN 2661-8680




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