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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
- Lingua
- Pubblicato
- 2010
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- (In brossura)
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- Lingua
- Inglese
- Autori
- N. L. Carothers
- Editore
- Cambridge University Press
- Pubblicato
- 2010
- Formato
- In brossura
- Pagine
- 198
- ISBN13
- 9780521603720
- Valutazione
- 4,2 su 5
- Descrizione
- 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.