WorldCat Identities

Bratteli, Ola

Overview
Works: 87 works in 265 publications in 4 languages and 2,853 library holdings
Genres: Conference proceedings 
Roles: Author, Editor
Classifications: QA326, 512.55
Publication Timeline
.
Most widely held works by Ola Bratteli
Operator algebras and quantum statistical mechanics by Ola Bratteli( Book )

62 editions published between 1979 and 2010 in English and Italian and held by 712 WorldCat member libraries worldwide

This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made. The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space
Operator algebras the Abel Symposium 2004 : proceedings of the First Abel Symposium, Oslo, September 3-5, 2004 by Ola Bratteli( )

21 editions published in 2006 in English and held by 479 WorldCat member libraries worldwide

The theme of this symposium was operator algebras in a wide sense. In the last 40 years operator algebras has developed from a rather special dis- pline within functional analysis to become a central ?eld in mathematics often described as "non-commutative geometry" (see for example the book "Non-Commutative Geometry" by the Fields medalist Alain Connes). It has branched out in several sub-disciplines and made contact with other subjects like for example mathematical physics, algebraic topology, geometry, dyn- ical systems, knot theory, ergodic theory, wavelets, representations of groups and quantum groups. Norway has a relatively strong group of researchers in the subject, which contributed to the award of the ?rst symposium in the series of Abel Symposia to this group. The contributions to this volume give a state-of-the-art account of some of these sub-disciplines and the variety of topics re?ect to some extent how the subject has branched out. We are happy that some of the top researchers in the ?eld were willing to contribute. The basic ?eld of operator algebras is classi?ed within mathematics as part of functional analysis. Functional analysis treats analysis on in?nite - mensional spaces by using topological concepts. A linear map between two such spaces is called an operator. Examples are di?erential and integral - erators. An important feature is that the composition of two operators is a non-commutative operation
Derivations, dissipations, and group actions on C*-algebras by Ola Bratteli( Book )

19 editions published between 1986 and 1996 in English and German and held by 469 WorldCat member libraries worldwide

Wavelets through a looking glass : the world of the spectrum by Ola Bratteli( Book )

7 editions published between 2002 and 2014 in English and held by 309 WorldCat member libraries worldwide

Iterated function systems and permutation representations of the Cuntz algebra by Ola Bratteli( Book )

10 editions published in 1999 in English and held by 239 WorldCat member libraries worldwide

Representation theory and numerical AF-invariants : the representations and centralizers of certain states on Od by Ola Bratteli( Book )

10 editions published in 2004 in English and held by 237 WorldCat member libraries worldwide

Positive semigroups of operators, and applications by Ola Bratteli( Book )

7 editions published in 1984 in English and Undetermined and held by 85 WorldCat member libraries worldwide

Operator algebras and quantum statistical mechanics 2 : Equilibrium states. Models in quantum statistical mechanics by Ola Bratteli( Book )

10 editions published between 1984 and 2011 in English and held by 71 WorldCat member libraries worldwide

Operator algebras and quantum statistical mechanics. equilibrium states models in quantum statistical mechanics by Ola Bratteli( Book )

13 editions published in 1981 in English and held by 52 WorldCat member libraries worldwide

C*- and W*-algebras, symmetry groups, decomposition of states by Ola Bratteli( Book )

6 editions published between 1979 and 2002 in English and held by 30 WorldCat member libraries worldwide

Operator Algebras and Quantum Statistical Mechanics C*- and W*-Algebras Symmetry Groups Decomposition of States by Ola Bratteli( )

1 edition published in 1979 in English and held by 21 WorldCat member libraries worldwide

Equilibrium states, models in quantum statistical mechanics by Ola Bratteli( Book )

3 editions published between 1981 and 1997 in English and Undetermined and held by 11 WorldCat member libraries worldwide

Band 2
Wavelets through a looking glass the world of the spectrum by Ola Bratteli( Visual )

1 edition published in 2002 in English and held by 6 WorldCat member libraries worldwide

Operatornye algebry i kvantovaja statističeskaja mechanika : C*- i W*-algebry gruppy simmetrij razloženie sostojanij by Ola Bratteli( Book )

2 editions published in 1982 in Russian and held by 6 WorldCat member libraries worldwide

Abundance of invariant and almost invariant pure states of C*-dynamical systems by Ola Bratteli( Book )

3 editions published in 1996 in English and held by 5 WorldCat member libraries worldwide

Operator algebras proceedings of the First Abel Symposium, Oslo, September 3 - 5, 2004( Book )

1 edition published in 2006 in English and held by 5 WorldCat member libraries worldwide

Operator algebras and quantum statistical mechanics by Ola Bratteli( Book )

in English and held by 5 WorldCat member libraries worldwide

Subelliptic operators on Lie groups : variable coefficients by Ola Bratteli( Book )

2 editions published in 1992 in English and held by 5 WorldCat member libraries worldwide

Spectral asymptotics of periodic elliptic operators by Ola Bratteli( Book )

2 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide

Operator algebras and quantum statistical mechanics by Ola Bratteli( )

in Undetermined and English and held by 4 WorldCat member libraries worldwide

 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.77 (from 0.00 for Wavelets t ... to 0.89 for Operator A ...)

Alternative Names
Bratelli, Ola

Bratteli, O.

Bratteli, U.

Браттели, У.

Languages
English (177)

Russian (2)

Italian (2)

German (1)

Covers
Operator algebras the Abel Symposium 2004 : proceedings of the First Abel Symposium, Oslo, September 3-5, 2004Derivations, dissipations, and group actions on C*-algebrasWavelets through a looking glass : the world of the spectrumIterated function systems and permutation representations of the Cuntz algebraPositive semigroups of operators, and applicationsOperator algebras and quantum statistical mechanics 2 : Equilibrium states. Models in quantum statistical mechanicsC*- and W*-algebras, symmetry groups, decomposition of statesEquilibrium states, models in quantum statistical mechanics