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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
- Language
- Released
- 2010
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- (Paperback)
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- Language
- English
- Authors
- N. L. Carothers
- Publisher
- Cambridge University Press
- Released
- 2010
- Format
- Paperback
- Pages
- 198
- ISBN13
- 9780521603720
- Rating
- 4.2 out of 5
- Description
- 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.