Ordered vector spaces and linear operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bucureşti
Ed. Acad. [u.a.]
1976
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Rumän. übers. - Literaturverz. S. [315] - 335 |
| Beschreibung: | 339 S. |
| ISBN: | 0856260908 |
Internformat
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| 240 | 1 | 0 | |a Spatii lineare ordonate si operatori lineari |
| 245 | 1 | 0 | |a Ordered vector spaces and linear operators |c Romulus Cristescu |
| 264 | 1 | |a Bucureşti |b Ed. Acad. [u.a.] |c 1976 | |
| 300 | |a 339 S. | ||
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| 500 | |a Aus d. Rumän. übers. - Literaturverz. S. [315] - 335 | ||
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Datensatz im Suchindex
| _version_ | 1804116708708843520 |
|---|---|
| adam_text | Contents
FOREWORD 7
1
Basic facts about ordered sets 9
1.1. General facts about ordered sets 9
1.2. Lattices 12
1.3. Convergence with respect to the order relation 23
Bibliographical comments 30
2
Elementary facts from the theory of topological vector spaces 31
2.1. Topological vector spaces 31
2.2. Locally convex spaces 38
2.3. Uniform convergence topologies in spaces of linear continuous
operators 46
2.4. Duality between vector spaces 51
Bibliographical comments 60
3
Ordered vector spaces 61
3.1. Ordered vector spaces. Directed spaces and Archimedean spaces 61
3.2. Vector lattices 69
3.3. Decompositions of a vector lattice 90
3.4. Concrete spaces 111
Bibliographical comments 117
4
Vector lattices with special properties 119
4.1. Vector lattices with unit element 119
4.2. Regular spaces, spaces of countable type, maximal spaces ... 128
6
4.3. Lattice ordered algebras 135
4.4. Special spaces 147
Bibliographical comments 152
5
Regular operators and (o) continuous operators 155
5.1. Regular linear operators 155
5.2. (o) Continuous linear operators 167
5.3. Disjunctive operators and multiplicative operators 186
5.4. Regular bilinear operators and (o) continuous bilinear operators 194
Bibliographical comments 205
6
Topological ordered vector spaces 207
6.1. Topological ordered vector spaces 207
6.2. Topological vector lattices 216
6.3. Linear operators defined on topological vector lattices .... 243
6.4. Special spaces 252
Bibliographical comments 262
7
Vector integrals and the representation of some linear operators 265
7.1. Spaces with vector norm, bounded linear operators and vector
integrals 265
7.2. Integrals with respect to vector measures 278
Bibliographical comments 288
8
Some applications of the theory of ordered vector spaces 289
8.1. Operator equations 289
8.2. Various applications 297
Bibliographical comments 313
References 315
Subject index 337
|
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| bvnumber | BV002252389 |
| classification_rvk | SK 160 SK 620 |
| ctrlnum | (OCoLC)630233868 (DE-599)BVBBV002252389 |
| discipline | Mathematik |
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| id | DE-604.BV002252389 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:48Z |
| institution | BVB |
| isbn | 0856260908 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001480077 |
| oclc_num | 630233868 |
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| physical | 339 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Ed. Acad. [u.a.] |
| record_format | marc |
| spelling | Cristescu, Romulus Verfasser aut Spatii lineare ordonate si operatori lineari Ordered vector spaces and linear operators Romulus Cristescu Bucureşti Ed. Acad. [u.a.] 1976 339 S. txt rdacontent n rdamedia nc rdacarrier Aus d. Rumän. übers. - Literaturverz. S. [315] - 335 Geordneter Vektorraum (DE-588)4156756-0 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Topologischer Vektorraum (DE-588)4122383-4 gnd rswk-swf Geordneter Vektorraum (DE-588)4156756-0 s Linearer Operator (DE-588)4167721-3 s DE-604 Topologischer Vektorraum (DE-588)4122383-4 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001480077&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 |
| spellingShingle | Cristescu, Romulus Ordered vector spaces and linear operators Geordneter Vektorraum (DE-588)4156756-0 gnd Linearer Operator (DE-588)4167721-3 gnd Topologischer Vektorraum (DE-588)4122383-4 gnd |
| subject_GND | (DE-588)4156756-0 (DE-588)4167721-3 (DE-588)4122383-4 |
| title | Ordered vector spaces and linear operators |
| title_alt | Spatii lineare ordonate si operatori lineari |
| title_auth | Ordered vector spaces and linear operators |
| title_exact_search | Ordered vector spaces and linear operators |
| title_full | Ordered vector spaces and linear operators Romulus Cristescu |
| title_fullStr | Ordered vector spaces and linear operators Romulus Cristescu |
| title_full_unstemmed | Ordered vector spaces and linear operators Romulus Cristescu |
| title_short | Ordered vector spaces and linear operators |
| title_sort | ordered vector spaces and linear operators |
| topic | Geordneter Vektorraum (DE-588)4156756-0 gnd Linearer Operator (DE-588)4167721-3 gnd Topologischer Vektorraum (DE-588)4122383-4 gnd |
| topic_facet | Geordneter Vektorraum Linearer Operator Topologischer Vektorraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001480077&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT cristescuromulus spatiilineareordonatesioperatorilineari AT cristescuromulus orderedvectorspacesandlinearoperators |