✦ LIBER ✦

Theory of linear operators in Hilbert space

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

Book ID: 127420550
Publisher: Dover Publications
Year: 1993
Tongue: English
Weight: 4 MB
Edition: 2
Category: Library
City: New York
ISBN-13: 9780486677484

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

Функциональный анализ

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## Abstract In this paper we study linear fractional relations defined in the following way. Let ℋ︁~__i__~ and ℋ︁~__i__~ ^′^, __i__ = 1, 2, be Hilbert spaces. We denote the space of bounded linear operators acting from ℋ︁~__j__~ to ℋ︁~__i__~ ^′^ by __L__ (ℋ︁~__j__~ , ℋ︁~__i__~ ^′^). Let __T__ ∈