skip to content
Jordan, Real and Lie Structures in Operator Algebras Preview this item
ClosePreview this item
Checking...

Jordan, Real and Lie Structures in Operator Algebras

Author: Shavkat Ayupov; Abdugafur Rakhimov; Shukhrat Usmanov
Publisher: Dordrecht : Springer Netherlands, 1997.
Series: Mathematics and Its Applications, 418.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This book develops a new approach to the study of infinite-dimensional Jordan and Lie algebras and real associative *-algebras of operators on a Hilbert space. All these algebras are canonically generated by involutive antiautomorphisms of von Neumann algebras. The first purpose of the book is to study the deep structure theory for Jordan operator algebras similar to (complex) von Neumann algebras theory, such as  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Shavkat Ayupov; Abdugafur Rakhimov; Shukhrat Usmanov
ISBN: 9789401586054 9401586055
OCLC Number: 851390740
Description: 1 online resource (ix, 230 pages).
Contents: Preliminaries --
1: Jordan Operator Algebras --
2: Real Structure in W*-Algebras --
3: Lie Structure in Operator Algebras --
References.
Series Title: Mathematics and Its Applications, 418.
Responsibility: by Shavkat Ayupov, Abdugafur Rakhimov, Shukhrat Usmanov.
More information:

Abstract:

This book develops a new approach to the study of infinite-dimensional Jordan and Lie algebras and real associative *-algebras of operators on a Hilbert space. All these algebras are canonically generated by involutive antiautomorphisms of von Neumann algebras. The first purpose of the book is to study the deep structure theory for Jordan operator algebras similar to (complex) von Neumann algebras theory, such as type classification, traces, conjugacy of automorphisms and antiautomorphisms, injectivity, amenability, and semidiscreteness. The second aim is to investigate pure algebraic problems concerning Jordan and Lie structure in prime and simple rings with involution in the frame work of operator algebras. These pure algebraic results give additional information on properties of single operators on a Hilbert space. Audience: This volume will be of interest to postgraduate students and specialists in the field of operator algebras, and algebraists whose work involves nonassociative and infinite-dimensional rings.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/851390740> # Jordan, Real and Lie Structures in Operator Algebras
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
    library:oclcnum "851390740" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/ne> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/607760#Place/dordrecht> ; # Dordrecht
    schema:about <http://id.worldcat.org/fast/1046419> ; # Operator theory
    schema:about <http://id.worldcat.org/fast/804885> ; # Algebra
    schema:about <http://id.worldcat.org/fast/936061> ; # Functional analysis
    schema:about <http://id.worldcat.org/fast/1012163> ; # Mathematics
    schema:about <http://dewey.info/class/515.7/e23/> ;
    schema:bookFormat schema:EBook ;
    schema:contributor <http://viaf.org/viaf/44539858> ; # Abdugafur Rakhimov
    schema:contributor <http://viaf.org/viaf/29771829> ; # Shukhrat Usmanov
    schema:creator <http://experiment.worldcat.org/entity/work/data/607760#Person/ayupov_shavkat> ; # Shavkat Ayupov
    schema:datePublished "1997" ;
    schema:description "Preliminaries -- 1: Jordan Operator Algebras -- 2: Real Structure in W*-Algebras -- 3: Lie Structure in Operator Algebras -- References."@en ;
    schema:description "This book develops a new approach to the study of infinite-dimensional Jordan and Lie algebras and real associative *-algebras of operators on a Hilbert space. All these algebras are canonically generated by involutive antiautomorphisms of von Neumann algebras. The first purpose of the book is to study the deep structure theory for Jordan operator algebras similar to (complex) von Neumann algebras theory, such as type classification, traces, conjugacy of automorphisms and antiautomorphisms, injectivity, amenability, and semidiscreteness. The second aim is to investigate pure algebraic problems concerning Jordan and Lie structure in prime and simple rings with involution in the frame work of operator algebras. These pure algebraic results give additional information on properties of single operators on a Hilbert space. Audience: This volume will be of interest to postgraduate students and specialists in the field of operator algebras, and algebraists whose work involves nonassociative and infinite-dimensional rings."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/607760> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/607760#Series/mathematics_and_its_applications> ; # Mathematics and Its Applications ;
    schema:isSimilarTo <http://worldcat.org/entity/work/data/607760#CreativeWork/> ;
    schema:name "Jordan, Real and Lie Structures in Operator Algebras"@en ;
    schema:productID "851390740" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/851390740#PublicationEvent/dordrecht_springer_netherlands_1997> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/607760#Agent/springer_netherlands> ; # Springer Netherlands
    schema:url <http://dx.doi.org/10.1007/978-94-015-8605-4> ;
    schema:workExample <http://dx.doi.org/10.1007/978-94-015-8605-4> ;
    schema:workExample <http://worldcat.org/isbn/9789401586054> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/851390740> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/607760#Agent/springer_netherlands> # Springer Netherlands
    a bgn:Agent ;
    schema:name "Springer Netherlands" ;
    .

<http://experiment.worldcat.org/entity/work/data/607760#Person/ayupov_shavkat> # Shavkat Ayupov
    a schema:Person ;
    schema:familyName "Ayupov" ;
    schema:givenName "Shavkat" ;
    schema:name "Shavkat Ayupov" ;
    .

<http://experiment.worldcat.org/entity/work/data/607760#Series/mathematics_and_its_applications> # Mathematics and Its Applications ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/851390740> ; # Jordan, Real and Lie Structures in Operator Algebras
    schema:name "Mathematics and Its Applications ;" ;
    .

<http://id.worldcat.org/fast/1012163> # Mathematics
    a schema:Intangible ;
    schema:name "Mathematics"@en ;
    .

<http://id.worldcat.org/fast/1046419> # Operator theory
    a schema:Intangible ;
    schema:name "Operator theory"@en ;
    .

<http://id.worldcat.org/fast/804885> # Algebra
    a schema:Intangible ;
    schema:name "Algebra"@en ;
    .

<http://id.worldcat.org/fast/936061> # Functional analysis
    a schema:Intangible ;
    schema:name "Functional analysis"@en ;
    .

<http://viaf.org/viaf/29771829> # Shukhrat Usmanov
    a schema:Person ;
    schema:familyName "Usmanov" ;
    schema:givenName "Shukhrat" ;
    schema:name "Shukhrat Usmanov" ;
    .

<http://viaf.org/viaf/44539858> # Abdugafur Rakhimov
    a schema:Person ;
    schema:familyName "Rakhimov" ;
    schema:givenName "Abdugafur" ;
    schema:name "Abdugafur Rakhimov" ;
    .

<http://worldcat.org/entity/work/data/607760#CreativeWork/>
    a schema:CreativeWork ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/851390740> ; # Jordan, Real and Lie Structures in Operator Algebras
    .

<http://worldcat.org/isbn/9789401586054>
    a schema:ProductModel ;
    schema:isbn "9401586055" ;
    schema:isbn "9789401586054" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.