Monotone complete C*-algebras and generic dynamics:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
London
Springer
[2015]
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Schriftenreihe: | Springer monographs in mathematics
|
Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online Ressource (XI, 257 Seiten) |
ISBN: | 9781447167754 |
ISSN: | 1439-7382 |
DOI: | 10.1007/978-1-4471-6775-4 |
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Datensatz im Suchindex
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adam_text | MONOTONE COMPLETE C*-ALGEBRAS AND GENERIC DYNAMICS
/ SAITO, KAZUYUKI
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
ORDER FUNDAMENTALS
CLASSIFICATION AND INVARIANTS
COMMUTATIVE ALGEBRAS: CONSTRUCTIONS AND CLASSIFICATIONS
CONVEXITY AND REPRESENTATIONS
GENERIC DYNAMICS
CONSTRUCTING MONOTONE COMPLETE C∗-ALGEBRAS
ENVELOPES, COMPLETIONS AND AW∗-ALGEBRAS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MONOTONE COMPLETE C*-ALGEBRAS AND GENERIC DYNAMICS
/ SAITO, KAZUYUKI
: 2015
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH IS ABOUT MONOTONE COMPLETE C*-ALGEBRAS, THEIR PROPERTIES
AND THE NEW CLASSIFICATION THEORY. A SELF-CONTAINED INTRODUCTION TO
GENERIC DYNAMICS IS ALSO INCLUDED BECAUSE OF ITS IMPORTANT CONNECTIONS
TO THESE ALGEBRAS. OUR KNOWLEDGE AND UNDERSTANDING OF MONOTONE COMPLETE
C*-ALGEBRAS HAS BEEN TRANSFORMED IN RECENT YEARS. THIS IS A VERY
EXCITING STAGE IN THEIR DEVELOPMENT, WITH MUCH DISCOVERED BUT WITH MANY
MYSTERIES TO UNRAVEL. THIS BOOK IS INTENDED TO ENCOURAGE GRADUATE
STUDENTS AND WORKING MATHEMATICIANS TO ATTACK SOME OF THESE DIFFICULT
QUESTIONS. EACH BOUNDED, UPWARD DIRECTED NET OF REAL NUMBERS HAS A
LIMIT. MONOTONE COMPLETE ALGEBRAS OF OPERATORS HAVE A SIMILAR PROPERTY.
IN PARTICULAR, EVERY VON NEUMANN ALGEBRA IS MONOTONE COMPLETE BUT THE
CONVERSE IS FALSE. WRITTEN BY MAJOR CONTRIBUTORS TO THIS FIELD, MONOTONE
COMPLETE C*-ALGEBRAS AND GENERIC DYNAMICS TAKES READERS FROM THE BASICS
TO RECENT ADVANCES. THE PREREQUISITES ARE A GROUNDING IN FUNCTIONAL
ANALYSIS, SOME POINT SET TOPOLOGY AND AN ELEMENTARY KNOWLEDGE OF
C*-ALGEBRAS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Saitô, Kazuyuki Maitland Wright, J. D. |
author_GND | (DE-588)1090896816 |
author_facet | Saitô, Kazuyuki Maitland Wright, J. D. |
author_role | aut aut |
author_sort | Saitô, Kazuyuki |
author_variant | k s ks w j d m wjd wjdm |
building | Verbundindex |
bvnumber | BV043309637 |
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classification_tum | MAT 000 |
collection | ZDB-2-SMA |
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dewey-full | 515.7 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.7 |
dewey-search | 515.7 |
dewey-sort | 3515.7 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4471-6775-4 |
format | Electronic eBook |
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isbn | 9781447167754 |
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language | English |
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spelling | Saitô, Kazuyuki Verfasser aut Monotone complete C*-algebras and generic dynamics Kazuyuki Saitô, J.D. Maitland Wright London Springer [2015] © 2015 1 Online Ressource (XI, 257 Seiten) txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics 1439-7382 Mathematics Associative rings Rings (Algebra) Algebra Ordered algebraic structures Functional analysis Functional Analysis Order, Lattices, Ordered Algebraic Structures Associative Rings and Algebras Mathematik C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 s 1\p DE-604 Maitland Wright, J. D. Verfasser (DE-588)1090896816 aut Erscheint auch als Druckausgabe 978-1-4471-6773-0 https://doi.org/10.1007/978-1-4471-6775-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730326&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730326&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Saitô, Kazuyuki Maitland Wright, J. D. Monotone complete C*-algebras and generic dynamics Mathematics Associative rings Rings (Algebra) Algebra Ordered algebraic structures Functional analysis Functional Analysis Order, Lattices, Ordered Algebraic Structures Associative Rings and Algebras Mathematik C-Stern-Algebra (DE-588)4136693-1 gnd |
subject_GND | (DE-588)4136693-1 |
title | Monotone complete C*-algebras and generic dynamics |
title_auth | Monotone complete C*-algebras and generic dynamics |
title_exact_search | Monotone complete C*-algebras and generic dynamics |
title_full | Monotone complete C*-algebras and generic dynamics Kazuyuki Saitô, J.D. Maitland Wright |
title_fullStr | Monotone complete C*-algebras and generic dynamics Kazuyuki Saitô, J.D. Maitland Wright |
title_full_unstemmed | Monotone complete C*-algebras and generic dynamics Kazuyuki Saitô, J.D. Maitland Wright |
title_short | Monotone complete C*-algebras and generic dynamics |
title_sort | monotone complete c algebras and generic dynamics |
topic | Mathematics Associative rings Rings (Algebra) Algebra Ordered algebraic structures Functional analysis Functional Analysis Order, Lattices, Ordered Algebraic Structures Associative Rings and Algebras Mathematik C-Stern-Algebra (DE-588)4136693-1 gnd |
topic_facet | Mathematics Associative rings Rings (Algebra) Algebra Ordered algebraic structures Functional analysis Functional Analysis Order, Lattices, Ordered Algebraic Structures Associative Rings and Algebras Mathematik C-Stern-Algebra |
url | https://doi.org/10.1007/978-1-4471-6775-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730326&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730326&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT saitokazuyuki monotonecompletecalgebrasandgenericdynamics AT maitlandwrightjd monotonecompletecalgebrasandgenericdynamics |