State spaces of operator algebras: basic theory, orientations and C*-products
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2001
|
| Schriftenreihe: | Mathematics: theory and applications
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 350 S. |
| ISBN: | 0817638903 3764338903 |
Internformat
MARC
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| 245 | 1 | 0 | |a State spaces of operator algebras |b basic theory, orientations and C*-products |c Erik M. Alfsen; Frederic W. Shultz |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 2001 | |
| 300 | |a XII, 350 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Mathematics: theory and applications | |
| 650 | 4 | |a Algèbres d'opérateurs | |
| 650 | 4 | |a Espace état, Méthodes de l' | |
| 650 | 4 | |a Operator algebras | |
| 650 | 4 | |a State-space methods | |
| 650 | 0 | 7 | |a Zustandsraum |0 (DE-588)4132647-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Operatoralgebra |0 (DE-588)4129366-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Operatoralgebra |0 (DE-588)4129366-6 |D s |
| 689 | 0 | 1 | |a Zustandsraum |0 (DE-588)4132647-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Shultz, Frederic W. |d 1945- |e Verfasser |0 (DE-588)123108284 |4 aut | |
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Datensatz im Suchindex
| _version_ | 1816444358132498432 |
|---|---|
| adam_text |
CONTENTS
PREFACE
.
V
CHAPTER
1:
INTRODUCTION
.
1
BASIC
NOTIONS
FROM
CONVEXITY
AND
ORDERED
VECTOR
SPACES
.
1
ORDER
UNIT
AND
BASE
NORM
SPACES
.
9
SELECTED
TOPICS
IN
FUNCTIONAL
ANALYSIS
.
17
SPECTRAL
THEORY
FOR
MONOTONE
COMPLETE
C
R
(
AE
'
)
.
26
ELEMENTARY
DIMENSION
THEORY
IN
LATTICES
.
30
ORDERED
ALGEBRAS
.
33
ALGEBRAS
WITH
INVOLUTION
.
42
ORDER
DERIVATIONS
.
55
NOTES
.
62
CHAPTER
2:
ELEMENTARY
THEORY
OF
C*-ALGEBRAS
AND
VON
NEUMANN
ALGEBRAS
.
63
BASICS
ON
C*-ALGEBRAS
.
63
REPRESENTATIONS
OF
C*-ALGEBRAS
.
78
PRELIMINARIES
ON
B(H)
.
85
BASICS
ON
VON
NEUMANN
ALGEBRAS
.
101
MISCELLANEOUS
.
121
NOTES
.
129
CHAPTER
3:
IDEALS,
FACES
AND
COMPRESSIONS
.
130
PROJECTIONS,
IDEALS,
AND
FACES
FOR
VON
NEUMANN
ALGEBRAS
.
130
PROJECTIONS,
IDEALS
AND
FACES
FOR
C*-ALGEBRAS
.
151
INVARIANT
SUBSPACES
.
161
COMPRESSIONS
OF
VON
NEUMANN
ALGEBRAS
.
168
NOTES
.
174
CHAPTER
4:
THE
NORMAL
STATE
SPACE
OF
B(H)
.
176
FACIAL
STRUCTURE
.
176
THE
CONCEPTS
OF
ANGLE
AND
GEODESIC
METRIC
.
183
*-ISOMORPHISMS
AND
*-ANTI-ISOMORPHISMS
.
189
ORIENTATION
OF
BALLS
AND
MULTIPLICATION
IN
M2(C)
.
193
NOTES
.
198
XII
CONTENTS
CHAPTER
5:
STATES,
REPRESENTATIONS,
AND
ORIENTATIONS
OF
C*-ALGEBRAS
.
199
STATE
SPACE
GEOMETRY
AND
REPRESENTATIONS
.
200
THE
SPECTRUM
AND
PRIMITIVE
IDEAL
SPACE
.
208
COMPLETELY
POSITIVE
MAPS
.
213
ORIENTATIONS
OF
STATE
SPACES
.
215
ORIENTATIONS
AND
C*
STRUCTURES
.
223
ORIENTATIONS
AND
NON-UNITAL
C*-ALGEBRAS
.
239
NOTES
.
240
CHAPTER
6:
SYMMETRIES
AND
ROTATIONS
IN
VON
NEUMANN
ALGEBRAS
.
241
ELEMENTS
OF
STRUCTURE
THEORY
.
241
SYMMETRIES
AND
REFLECTIONS
.
249
ROTATIONAL
DERIVATIONS
.
265
NOTES
.
279
CHAPTER
7:
ORIENTATIONS
AND
VON
NEUMANN
ALGEBRAS
.
281
BALANCED
SYMMETRIES
AND
ASSOCIATIVE
PRODUCTS
.
282
CARTESIAN
TRIPLES
AND
3-FRAMES
.
295
ORIENTATION
OF
NORMAL
STATE
SPACES
.
314
FROM
ORIENTATIONS
TO
ASSOCIATIVE
PRODUCTS
.
329
NOTES
.
340
BIBLIOGRAPHY
.
341
INDEX
.
345 |
| any_adam_object | 1 |
| author | Alfsen, Erik M. 1930- Shultz, Frederic W. 1945- |
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| author_role | aut aut |
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| building | Verbundindex |
| bvnumber | BV013868272 |
| callnumber-first | Q - Science |
| callnumber-label | QA326 |
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| callnumber-search | QA326 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 600 SK 620 |
| classification_tum | MAT 467f |
| ctrlnum | (OCoLC)46616002 (DE-599)BVBBV013868272 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013868272 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-22T17:25:30Z |
| institution | BVB |
| isbn | 0817638903 3764338903 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009485738 |
| oclc_num | 46616002 |
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| physical | XII, 350 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Mathematics: theory and applications |
| spelling | Alfsen, Erik M. 1930- Verfasser (DE-588)123108330 aut State spaces of operator algebras basic theory, orientations and C*-products Erik M. Alfsen; Frederic W. Shultz Boston [u.a.] Birkhäuser 2001 XII, 350 S. txt rdacontent n rdamedia nc rdacarrier Mathematics: theory and applications Algèbres d'opérateurs Espace état, Méthodes de l' Operator algebras State-space methods Zustandsraum (DE-588)4132647-7 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 s Zustandsraum (DE-588)4132647-7 s DE-604 Shultz, Frederic W. 1945- Verfasser (DE-588)123108284 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009485738&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Alfsen, Erik M. 1930- Shultz, Frederic W. 1945- State spaces of operator algebras basic theory, orientations and C*-products Algèbres d'opérateurs Espace état, Méthodes de l' Operator algebras State-space methods Zustandsraum (DE-588)4132647-7 gnd Operatoralgebra (DE-588)4129366-6 gnd |
| subject_GND | (DE-588)4132647-7 (DE-588)4129366-6 |
| title | State spaces of operator algebras basic theory, orientations and C*-products |
| title_auth | State spaces of operator algebras basic theory, orientations and C*-products |
| title_exact_search | State spaces of operator algebras basic theory, orientations and C*-products |
| title_full | State spaces of operator algebras basic theory, orientations and C*-products Erik M. Alfsen; Frederic W. Shultz |
| title_fullStr | State spaces of operator algebras basic theory, orientations and C*-products Erik M. Alfsen; Frederic W. Shultz |
| title_full_unstemmed | State spaces of operator algebras basic theory, orientations and C*-products Erik M. Alfsen; Frederic W. Shultz |
| title_short | State spaces of operator algebras |
| title_sort | state spaces of operator algebras basic theory orientations and c products |
| title_sub | basic theory, orientations and C*-products |
| topic | Algèbres d'opérateurs Espace état, Méthodes de l' Operator algebras State-space methods Zustandsraum (DE-588)4132647-7 gnd Operatoralgebra (DE-588)4129366-6 gnd |
| topic_facet | Algèbres d'opérateurs Espace état, Méthodes de l' Operator algebras State-space methods Zustandsraum Operatoralgebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009485738&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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