Finite and infinite dimensional linear spaces: a comparative study in algebraic and analytic settings
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
1981
|
| Series: | Pure and applied mathematics
66 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 168 S. graph. Darst. |
| ISBN: | 0824711726 |
Staff View
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| 245 | 1 | 0 | |a Finite and infinite dimensional linear spaces |b a comparative study in algebraic and analytic settings |c Richard D. Järvinen |
| 264 | 1 | |a New York [u.a.] |b Dekker |c 1981 | |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
FOREWORD by T. M. Rassias v
PREFACE vii
Chapter 1 NONTOPOLOGICAL LINEAR SPACE THEORY 1
1. The Concepts of Group, Field, and Linear Space 1
2. Set Theoretic Notions and Other Preliminaries 5
3. Theorems Central to Linear Spaces with Finite
Hamel Dimension and Analogues in Linear
Spaces with Infinite Hamel Dimension 9
Exercises 32
Chapter 2 FINITE SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS
AND THEIR GENERALIZATIONS 40
1. Preliminaries 41
2. Finite Systems of Linear Algebraic Equations 43
3. Infinite Systems of Linear Algebraic Equations 50
4. Integral Equations 62
5. Linear Operator Equations
and the Fredholm Theorems 72
Exercises 77
Chapter 3 TOPOLOGICAL LINEAR SPACES: SOME COMPARISONS 87
1. Comparisons in Inner Product Spaces 88
2. Comparisons in Hilbert Spaces 98
3. Comparisons in Normed Linear Spaces 110
4. Comparisons in Banach Spaces 115
5. Comparisons in Topological Linear Spaces 119
Exercises 126
xiii
xiv Contents
Chapter 4 CURRENT RESEARCH PROBLEMS 144
1. Challenge Problems 144
2. Open Problems 146
BIBLIOGRAPHY 151
NOTATION 161
INDEX 163
|
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| id | DE-604.BV002300030 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:43:38Z |
| institution | BVB |
| isbn | 0824711726 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001511594 |
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| physical | XIV, 168 S. graph. Darst. |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Järvinen, Richard D. Verfasser aut Finite and infinite dimensional linear spaces a comparative study in algebraic and analytic settings Richard D. Järvinen New York [u.a.] Dekker 1981 XIV, 168 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 66 Espace Hilbert Jussieu Espace vectoriel Jussieu Espaces vectoriels ram Exercice algèbre linéaire Jussieu Théorème Fredholm Jussieu Vector spaces Vektorraum (DE-588)4130622-3 gnd rswk-swf Vektorraum (DE-588)4130622-3 s DE-604 Pure and applied mathematics 66 (DE-604)BV000001885 66 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001511594&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Järvinen, Richard D. Finite and infinite dimensional linear spaces a comparative study in algebraic and analytic settings Pure and applied mathematics Espace Hilbert Jussieu Espace vectoriel Jussieu Espaces vectoriels ram Exercice algèbre linéaire Jussieu Théorème Fredholm Jussieu Vector spaces Vektorraum (DE-588)4130622-3 gnd |
| subject_GND | (DE-588)4130622-3 |
| title | Finite and infinite dimensional linear spaces a comparative study in algebraic and analytic settings |
| title_auth | Finite and infinite dimensional linear spaces a comparative study in algebraic and analytic settings |
| title_exact_search | Finite and infinite dimensional linear spaces a comparative study in algebraic and analytic settings |
| title_full | Finite and infinite dimensional linear spaces a comparative study in algebraic and analytic settings Richard D. Järvinen |
| title_fullStr | Finite and infinite dimensional linear spaces a comparative study in algebraic and analytic settings Richard D. Järvinen |
| title_full_unstemmed | Finite and infinite dimensional linear spaces a comparative study in algebraic and analytic settings Richard D. Järvinen |
| title_short | Finite and infinite dimensional linear spaces |
| title_sort | finite and infinite dimensional linear spaces a comparative study in algebraic and analytic settings |
| title_sub | a comparative study in algebraic and analytic settings |
| topic | Espace Hilbert Jussieu Espace vectoriel Jussieu Espaces vectoriels ram Exercice algèbre linéaire Jussieu Théorème Fredholm Jussieu Vector spaces Vektorraum (DE-588)4130622-3 gnd |
| topic_facet | Espace Hilbert Espace vectoriel Espaces vectoriels Exercice algèbre linéaire Théorème Fredholm Vector spaces Vektorraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001511594&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
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