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Focusing on the classical aspects of Banach space theory, this short course covers three key topics: Schauder bases, Lp spaces, and C(K) spaces. It highlights the postwar revival of the field led by notable mathematicians such as James and Lindenstrauss, showcasing their impactful results. A foundational knowledge of functional analysis and some exposure to abstract measure theory is required, along with a basic understanding of topology, although an appendix is provided for necessary topological concepts.
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A Short Course on Banach Space Theory, N. L. Carothers
- Taal
- Jaar van publicatie
- 2010
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- (Paperback)
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- Taal
- Engels
- Auteurs
- N. L. Carothers
- Uitgever
- Cambridge University Press
- Jaar van publicatie
- 2010
- Formaat
- Paperback
- Aantal pagina's
- 198
- ISBN13
- 9780521603720
- Beoordeling
- 4,2 van 5
- Aantekening
- Focusing on the classical aspects of Banach space theory, this short course covers three key topics: Schauder bases, Lp spaces, and C(K) spaces. It highlights the postwar revival of the field led by notable mathematicians such as James and Lindenstrauss, showcasing their impactful results. A foundational knowledge of functional analysis and some exposure to abstract measure theory is required, along with a basic understanding of topology, although an appendix is provided for necessary topological concepts.