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Linear Algebra, Infinite Dimensions, and Maple

Language: 



Author:  James V. Herod, Professor Emeritus 














Description 
Contents: A Decomposition for Matrices
Exp(tA); Self Adjoint Transformations in InnerProduct Spaces
The Gerschgorin Circle Theorem; Convergence
Orthogonality and Closest Point Projection;
Orthogonal, Nonexpansive, & SelfAdjoint Projections; Orthonormal Vectors; The Finite Dimensional Paradigm
Bounded Linear Maps from E to C; Applications to Differential Equations;
The Simple Paradigm from E to E;
Adjoint Operators;
Compact Sets;
Compact Operators;
The Space of Bounded Linear Operators;
The Eigenvalue Problem;
Normal Operators and The More General; Paradigm; Compact Operators and Orthonormal Families;
A Characterization of Compact Operators;
The Fredholm Alternative Theorems
Closed Operators; The Deficiency of A; A Problem in Control;
Approximation in a Hilbert Space with a reproducing kernel. 

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