Basic Methods of Linear Functional Analysis

Basic Methods of Linear Functional AnalysisAn introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. It assumes a familiarity with basic real analysis, metric space theory, linear algebra, and minimal knowledge of measures and Lebesgue integration, all of which are surveyed in the first chapter. Subsequent chapters explore the basic results of linear functional analysis: Stone Weierstrass, Hahn Banach, uniform boundedness

An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. It assumes a familiarity with basic real analysis, metric space theory, linear algebra, and minimal knowledge of measures and Lebesgue integration, all of which are surveyed in the first chapter.
Subsequent chapters explore the basic results of linear functional analysis: Stone-Weierstrass, Hahn-Banach, uniform boundedness and open mapping theorems, dual spaces, and basic properties of operators. Additional topics include function spaces, the Tychonov and Alaoglu theorems, Hilbert spaces, elementary Fourier analysis, and compact self-adjoint operators applied to Sturm-Liouville theory. "The author has a delightfully lively style which makes the book very readable," noted the Edinburgh Mathematical Society, "and there are numerous interesting and instructive problems."

Binding Type: Paperback
Publisher: Dover Publications
Published: 10/20/2011
ISBN: 9780486483849
Pages: 320
Weight: 0.70lbs
Size: 8.40h x 5.40w x 0.70d