An introduction to Hilbert space / Nicholas Young

Auteur: Young, Nicholas - AuteurType de document: Monographie Collection: Cambridge mathematical textbooks Langue: anglaisPays: Grande BretagneÉditeur: Cambridge : Cambridge University Press, cop. 1988Edition: 14th printing 2011Description: 1 vol. (239 p.) ; 24 cm ISBN: 9780521337175 ; br. Note: This interesting textbook, in its first eight chapters, presents a very clear and elegant exposition of the basic notions of the theory of Hilbert space. Chapters 9 to 11 describe applications to Sturm-Liouville systems, Green functions and eigenfunction expansions. Of special interest is the material and treatment in Chapters 12–16: It is beautiful and relatively recent mathematics, dealing with positive operators, contractions, Hardy spaces, Hankel operators, applications to complex analysis and engineering, and the theorems of Parrot, Nehari, Kronecker and Adamyan-Arov-Kreĭn. The first half of the book is accessible to undergraduate students, and the second half may be used for graduate courses and would also be of interest to some electrical engineers. (MSN)Bibliographie: Index. Sujets MSC: 46-01 Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.)
46C05 Functional analysis -- Inner product spaces and their generalizations, Hilbert spaces -- Hilbert and pre-Hilbert spaces: geometry and topology
46Cxx Functional analysis -- Inner product spaces and their generalizations, Hilbert spaces
47A20 Operator theory -- General theory of linear operators -- Dilations, extensions, compressions
47B06 Operator theory -- Special classes of linear operators -- Riesz operators; eigenvalue distributions; approximation numbers, s-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
En-ligne: MSN | zbMath
Location Call Number Status Date Due
Salle R 12401-01 / 46 YOU (Browse Shelf) Available

This interesting textbook, in its first eight chapters, presents a very clear and elegant exposition of the basic notions of the theory of Hilbert space. Chapters 9 to 11 describe applications to Sturm-Liouville systems, Green functions and eigenfunction expansions. Of special interest is the material and treatment in Chapters 12–16: It is beautiful and relatively recent mathematics, dealing with positive operators, contractions, Hardy spaces, Hankel operators, applications to complex analysis and engineering, and the theorems of Parrot, Nehari, Kronecker and Adamyan-Arov-Kreĭn. The first half of the book is accessible to undergraduate students, and the second half may be used for graduate courses and would also be of interest to some electrical engineers. (MSN)

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