Basic Methods of Linear Functional Analysis (Dover Books on Mathematics)
Language: English
Published by Dover Publications, 2011
- Softcover
- New
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- Title
- Basic Methods of Linear Functional Analysis (Dover Books on Mathematics)
- Author
- John D. Pryce
- Publisher
- Dover Publications
- Publication year
- 2011
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0486483843
- ISBN 13
- 9780486483849
- Seller catalogs
- 0, VCF
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."
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."
"Synopsis" may belong to another edition of this title.
About the Author
John D. Pryce is a Mathematics Professor at England's Cranfield University.
"About the title" may belong to another edition of this title.
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