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Basic Classes of Linear Operators
English
236 b
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This book provides an introduction to functional analysis with an emphasis on the theory of linear operators and its application to differential equations, integral equations, infinite systems of linear equations, approximation theory, and numerical analysis. Designed as a textbook for senior undergraduate and graduate students, it begins with the geometry of Hilbert spaces and proceeds to the theory of linear operators on these spaces. Included is the spectral theory for compact self adjoint operators with a wide range of applications. Part of the volume is devoted to Banach spaces and operators acting on these spaces. The theory is richly illustrated by many examples including Laurent, Toeplitz and Poincaré operators.§
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