Created by the founder of modern functional analysis, this is the first text on the theory of linear operators, written in 1932 and translated into English in 1987. In addition to the basics of the algebra of operators, this classic explores the calculus of variations and the theory of integral equations. 1987 edition. Reprint of the Elsevier Science Publishers, 1987 edition.
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Applied Functional Analysis by D.H. Griffel This introductory text examines applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Covers distribution theory, Banach spaces, Hilbert space, spectral theory, Frechet calculus, Sobolev spaces, more. 1985 edition.
Theory of Linear Operators in Hilbert Space by N. I. Akhiezer, I. M. Glazman 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. Invaluable for every mathematician and physicist. 1961, 1963 edition.
Linear Operators for Quantum Mechanics by Thomas F. Jordan Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.
Unbounded Linear Operators: Theory and Applications by Seymour Goldberg In simple notation and a readable style, this classic offers advanced undergraduates and graduate students a comprehensive, self-contained, and systematic treatment covering both theory and applications to differential equations.
Functional Analysis by Frigyes Riesz, Béla Sz.-Nagy Classic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition.
Elementary Functional Analysis by Georgi E. Shilov Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.
Functional Analysis by George Bachman, Lawrence Narici Text covers introduction to inner-product spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach Theorem and its consequences, and many other related subjects. 1966 edition.
Functional Analysis and Linear Control Theory by J. R. Leigh Functional analysis provides a concise conceptual framework for linear control theory. This self-contained text demonstrates the subject's unity with a wide range of powerful theorems. 1980 edition.
