Locally convex spaces and operator ideals:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Leipzig
Teubner
1983
|
| Edition: | 1. Aufl. |
| Series: | Teubner-Texte zur Mathematik
56 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 180 S. graph. Darst. |
| ISSN: | 0138-502X |
Staff View
MARC
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| 300 | |a 180 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
| _version_ | 1804116728530075648 |
|---|---|
| adam_text | CONTENTS
1. Topological vector spaces
1. Topological spaces 7
2. Topological vector spaces and linear continuous operators 11
3. Completeness 14
4. Metrizable topological vector spaces 18
5. Locally convex spaces 25
2. Linear continuous operators
1. Basic properties 36
2. The Hahn Banach Theorem 39
3. Bornological spaces 43
4. Injections and surjections 44
5. Projective and inductive constructions 48
6. Functorlal topologies 58
7. (F) , (DP) spaces and related classes 61
3. Duality
1. Dual pairings and weak topologies 69
2. Adjoint operators 72
3. Topologies defined by dual pairings 73
4. Dual spaces
1. Continuity of operators 78
2. Barrelled and quasi barrelled spaces 81
3. Reflexivity 84
4. Dual characterization of completeness 89
5. Dual characterization of (F) and (DF) spaces 90
5. Operator ideals
1. Basic, notations 93
2. Ban ideals 95
3. Extension of operator ideals 105
4. The extensions ,Ae and A* 106
6. Factorization of operators
1. The factorization problem 111
2. Factorization of operators mapping (DF) into (F) spaces 112
3. Factorization theorem for closed operator ideals 117
4. Factorization of operators mapping (F) into (DF) spaces 125
5
5. The geometry of the system of bounded subsets In
(F) spaces 128
7. Locally convex spaces of type «A
1. A spaces and related classes 133
2. Permanence properties 136
3. Dual spaces of Jl spaces 140
4. The associated ^ topology and universal generators 143
5. Hontel and Schwartz spaces 149
6. Nuclear spaces 1 152
7* Absolutely summing and r approximable operators 155
8. Nuclear spaces II 164
9. Counterexamples 170
References 173
Index 178
List of symbols 180
6
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| any_adam_object | 1 |
| author | Junek, Heinz 1944- |
| author_GND | (DE-588)130185558 |
| author_facet | Junek, Heinz 1944- |
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| classification_rvk | SK 600 SK 620 |
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| ctrlnum | (OCoLC)251372819 (DE-599)BVBBV002270769 |
| dewey-full | 515.7/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/3 |
| dewey-search | 515.7/3 |
| dewey-sort | 3515.7 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| id | DE-604.BV002270769 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:43:07Z |
| institution | BVB |
| issn | 0138-502X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001492025 |
| oclc_num | 251372819 |
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| physical | 180 S. graph. Darst. |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Teubner |
| record_format | marc |
| series | Teubner-Texte zur Mathematik |
| series2 | Teubner-Texte zur Mathematik |
| spelling | Junek, Heinz 1944- Verfasser (DE-588)130185558 aut Locally convex spaces and operator ideals Heinz Junek 1. Aufl. Leipzig Teubner 1983 180 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik 56 0138-502X Locally convex spaces Operator ideals Operatorenideal (DE-588)4284995-0 gnd rswk-swf Ideal Mathematik (DE-588)4161198-6 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Lokalkonvexer Raum (DE-588)4168126-5 gnd rswk-swf Lokalkonvexer Raum (DE-588)4168126-5 s Operatorenideal (DE-588)4284995-0 s DE-604 Ideal Mathematik (DE-588)4161198-6 s 1\p DE-604 Operator (DE-588)4130529-2 s 2\p DE-604 Teubner-Texte zur Mathematik 56 (DE-604)BV000012607 56 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001492025&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Junek, Heinz 1944- Locally convex spaces and operator ideals Teubner-Texte zur Mathematik Locally convex spaces Operator ideals Operatorenideal (DE-588)4284995-0 gnd Ideal Mathematik (DE-588)4161198-6 gnd Operator (DE-588)4130529-2 gnd Lokalkonvexer Raum (DE-588)4168126-5 gnd |
| subject_GND | (DE-588)4284995-0 (DE-588)4161198-6 (DE-588)4130529-2 (DE-588)4168126-5 |
| title | Locally convex spaces and operator ideals |
| title_auth | Locally convex spaces and operator ideals |
| title_exact_search | Locally convex spaces and operator ideals |
| title_full | Locally convex spaces and operator ideals Heinz Junek |
| title_fullStr | Locally convex spaces and operator ideals Heinz Junek |
| title_full_unstemmed | Locally convex spaces and operator ideals Heinz Junek |
| title_short | Locally convex spaces and operator ideals |
| title_sort | locally convex spaces and operator ideals |
| topic | Locally convex spaces Operator ideals Operatorenideal (DE-588)4284995-0 gnd Ideal Mathematik (DE-588)4161198-6 gnd Operator (DE-588)4130529-2 gnd Lokalkonvexer Raum (DE-588)4168126-5 gnd |
| topic_facet | Locally convex spaces Operator ideals Operatorenideal Ideal Mathematik Operator Lokalkonvexer Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001492025&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000012607 |
| work_keys_str_mv | AT junekheinz locallyconvexspacesandoperatorideals |