Theory of linear operators in Hilbert space

✍ Scribed by N. I. Akhiezer, I. M. Glazman

Publisher: Dover Publications
Year: 1993
Tongue: English
Leaves: 377
Edition: 2
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This classic textbook introduces linear operators in Hilbert Space, and presents the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. 1961, 1963 edition.This classic textbook by two mathematicians from the U.S.S.R.'s prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. It is directed to students at graduate and advanced undergraduate levels, but because of the exceptional clarity of its theoretical presentation and the inclusion of results obtained by Soviet mathematicians, it should prove invaluable for every mathematician and physicist. 1961, 1963 edition.

✦ Subjects

Математика;Функциональный анализ;

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Theory of Linear Operators in Hilbert Sp

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The spectral theorem of David Hilbert, John von Neumann, and Marshall Stone gives a complete answer to the question of which operators admit a diogonal representation, up to unitary equivalence, and makes the question precise as well. The theorem states that these are the normal operators in Hilbert

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Theory of Linear Operators in Hilbert Sp

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