A Short Course on Banach Space Theory
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| Title: | A Short Course on Banach Space Theory |
|---|---|
| Description: | This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course. |
| Authors: | N. L. Carothers |
| Resource Type: | eBook. |
| Subjects: | Banach spaces |
| Categories: | MATHEMATICS / Transformations |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
|---|---|
| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 129288 RelevancyScore: 998 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 998.4384765625 |
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| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=129288 |
| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 515.732 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Banach spaces Type: general Titles: – TitleFull: A Short Course on Banach Space Theory Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: N. L. Carothers – PersonEntity: Name: NameFull: N. L. Carothers IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2005 – D: 04 M: 02 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9780521842839 – Type: isbn-electronic Value: 9780511080470 Numbering: – Type: volume Value: 00064 Titles: – TitleFull: A Short Course on Banach Space Theory Type: main |
| ResultId | 1 |
