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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
- Idioma
- Publicado en
- 2010
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- Idioma
- Inglés
- Autores
- N. L. Carothers
- Editorial
- Cambridge University Press
- Publicado en
- 2010
- Formato
- Tapa blanda
- Páginas
- 198
- ISBN13
- 9780521603720
- Etiquetas
- No ficción, Ciencia y Matemáticas, Matemáticas
- Calificación
- 4,2 de 5
- Descripción
- 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.