Operator theory on noncommutative domains:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Math. Soc.
2010
|
| Series: | Memoirs of the American Mathematical Society
964 |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 205, Number 964 (third of 5 numbers) Includes bibliographical references |
| Physical Description: | VI, 124 S. |
| ISBN: | 9780821847107 |
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MARC
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| 245 | 1 | 0 | |a Operator theory on noncommutative domains |c Gelu Popescu |
| 264 | 1 | |a Providence, R.I. |b American Math. Soc. |c 2010 | |
| 300 | |a VI, 124 S. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 964 | |
| 500 | |a Volume 205, Number 964 (third of 5 numbers) | ||
| 500 | |a Includes bibliographical references | ||
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Record in the Search Index
| _version_ | 1804142911539904513 |
|---|---|
| adam_text | Contents
Introduction
Chapter
1.
Operator algebras associated with
noncommutative
domains
9
1.1.
The
noncommutative
domain
Ό
f
and a universal model
9
1.2.
The domain algebra
A„(Vf)
and its representations
17
1.3.
The Hardy algebra F^(Vf)
22
1.4.
Functional calculus for
η
-tuples of operators in
Vf
26
1.5.
The
noncommutative
variety Vjj and a functional calculus
32
1.6.
Weighted shifts, symmetric weighted Fock spaces, and multipliers
35
Chapter
2.
Free holomorphic functions on
noncommutative
domains
45
2.1.
Free holomorphic functions and
Poisson
transforms
45
2.2. Schwarz
lemma and Bohr s inequality for F^°(O
ƒ ) 51
2.3.
Weierstrass
and
Montei
theorems for the algebra Hol(O/)
56
2.4.
Cauchy transforms and analytic functional calculus for
η
-tuples of
operators
59
Chapter
3.
Model theory and unitary invariants on
noncommutative
domains
71
3.1.
Weighted shifts and invariant subspaces
71
3.2.
C -algebras associated with
noncommutative
varieties and Wold
decompositions
76
3.3.
Dilations on noncommutative domains and varieties
82
3.4.
Characteristic functions and model theory
92
3.5.
Curvature invariant for
η
-tuples of operators in Vp
104
Chapter
4.
Commutant
lifting and applications 111
4.1.
Interpolation on noncommutative domains 111
4.2.
Corona theorem for a class of Hardy algebras
117
Bibliography
121
|
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| id | DE-604.BV036433033 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:39:17Z |
| institution | BVB |
| isbn | 9780821847107 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020305559 |
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| physical | VI, 124 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Popescu, Gelu 1958- Verfasser (DE-588)138608253 aut Operator theory on noncommutative domains Gelu Popescu Providence, R.I. American Math. Soc. 2010 VI, 124 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 964 Volume 205, Number 964 (third of 5 numbers) Includes bibliographical references Memoirs of the American Mathematical Society 964 (DE-604)BV008000141 964 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020305559&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Popescu, Gelu 1958- Operator theory on noncommutative domains Memoirs of the American Mathematical Society |
| title | Operator theory on noncommutative domains |
| title_auth | Operator theory on noncommutative domains |
| title_exact_search | Operator theory on noncommutative domains |
| title_full | Operator theory on noncommutative domains Gelu Popescu |
| title_fullStr | Operator theory on noncommutative domains Gelu Popescu |
| title_full_unstemmed | Operator theory on noncommutative domains Gelu Popescu |
| title_short | Operator theory on noncommutative domains |
| title_sort | operator theory on noncommutative domains |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020305559&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT popescugelu operatortheoryonnoncommutativedomains |