A Course in Functional Analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1985
|
| Series: | Graduate Texts in Mathematics
96 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts |
| Physical Description: | 1 Online-Ressource (XIV, 406 p) |
| ISBN: | 9781475738285 9781475738308 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4757-3828-5 |
Staff View
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Record in the Search Index
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| discipline | Mathematik |
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| indexdate | 2024-07-10T01:21:09Z |
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| isbn | 9781475738285 9781475738308 |
| issn | 0072-5285 |
| language | English |
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| spelling | Conway, John B. Verfasser aut A Course in Functional Analysis by John B. Conway New York, NY Springer New York 1985 1 Online-Ressource (XIV, 406 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 96 0072-5285 Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s 1\p DE-604 Hilbert-Raum (DE-588)4159850-7 s 2\p DE-604 Banach-Raum (DE-588)4004402-6 s 3\p DE-604 https://doi.org/10.1007/978-1-4757-3828-5 Verlag Volltext 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Conway, John B. A Course in Functional Analysis Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd Banach-Raum (DE-588)4004402-6 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4004402-6 (DE-588)4159850-7 |
| title | A Course in Functional Analysis |
| title_auth | A Course in Functional Analysis |
| title_exact_search | A Course in Functional Analysis |
| title_full | A Course in Functional Analysis by John B. Conway |
| title_fullStr | A Course in Functional Analysis by John B. Conway |
| title_full_unstemmed | A Course in Functional Analysis by John B. Conway |
| title_short | A Course in Functional Analysis |
| title_sort | a course in functional analysis |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd Banach-Raum (DE-588)4004402-6 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis Banach-Raum Hilbert-Raum |
| url | https://doi.org/10.1007/978-1-4757-3828-5 |
| work_keys_str_mv | AT conwayjohnb acourseinfunctionalanalysis |