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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 |
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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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