Theory of Linear Operators in Hilbert Space (Dover Books on Mathematics)
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Theory of Linear Operators in Hilbert Space (Dover Books on Mathema...
Book Details
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Author: N. I. Akhiezer
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Publisher: Dover
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Language: English
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Edition: New Edition
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ISBN: 9780486677484
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Pages: 378
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Cover: Paperback
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Dimensions: 8.5 x 5.4 x 2.0 inches
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Format: Illustrated
About the Book
"Theory of Linear Operators in Hilbert Space" by N. I. Akhiezer is a classic textbook that offers an in-depth introduction to linear operators in Hilbert space, a crucial topic in functional analysis. Authored by two mathematicians from the prestigious Kharkov Mathematics Institute of the USSR, this work presents the geometry of Hilbert space and explores the spectral theory of unitary and self-adjoint operators with remarkable clarity.
The book is aimed at graduate students and advanced undergraduates, but due to its exceptional theoretical presentation, it is also an invaluable resource for mathematicians and physicists alike. The inclusion of results obtained by Soviet mathematicians further enriches the content, making it a seminal work in the field. First published in 1961 and 1963, this New Edition continues to serve as a key reference for anyone interested in functional analysis and quantum mechanics. With its detailed approach and clear explanations, this textbook remains an essential resource for understanding the mathematical foundations of quantum theory and operator theory.
