Nonstandard methods in functional analysis : lectures and notes / Siu-Ah Ng.

Format:

Book

Author/Creator:

Ng, Siu-Ah.

Language:

English

Subjects (All):

Functional analysis.

Nonstandard mathematical analysis.

Physical Description:

1 online resource (340 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, c2010.

Language Note:

English

Summary:

In the early 1960's, 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.

Contents:

Preface; Convention and Symbols; List of Theorems; Contents; 1. Nonstandard Analysis; 2. Banach Spaces; 3. Banach Algebras; 4. Selected Research Topics; Suggestions for Further Reading; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786612761546

9781282761544

1282761544

9789814287555

9814287555

OCLC:

671648587