Translated from the Russian (Ахиезер Н.И., Глазман И.М. Теория
линейных операторов в гильбертовом пространстве) by Merlynd
Nestell, New York, 1993, - 218 pages.
The present book stems from lectures and papers which were presented by the authors at the Kharkov Mathematics Institute. It is not exhaustive and perhaps should be called "An Introduction to Linear Operators in Hilbert Space." However, the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators is presented in detail. The book contains some results obtained by Soviet mathematicians.
The present volume comprises the first five chapters of the Russian text of seven chapters and two appendices.
The present book stems from lectures and papers which were presented by the authors at the Kharkov Mathematics Institute. It is not exhaustive and perhaps should be called "An Introduction to Linear Operators in Hilbert Space." However, the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators is presented in detail. The book contains some results obtained by Soviet mathematicians.
The present volume comprises the first five chapters of the Russian text of seven chapters and two appendices.