Nonstandard Methods In Functional Analysis: Lectures And Notes
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A01=Siu-ah Ng
Author_Siu-ah Ng
Banach Algebra
Banach Space
C*-Algebra
Category=PBKF
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Functional Analysis
Nonstandard Analysis
Nonstandard Hull
Operator Algebra
Von Neumann Algebra Book
Product details
- ISBN 9789814287548
- Publication Date: 20 Apr 2010
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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In the early 1960s, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus. Since then, the methodology has found applications in a wide spectrum of areas in mathematics, with particular success in the probability theory and functional analysis. In the latter, fruitful results were produced with Luxemburg's invention of the nonstandard hull construction. However, there is still no publication of a coherent and self-contained treatment of functional analysis using methods from nonstandard analysis. This publication aims to fill this gap.
