Linear Algebra, Infinite Dimensions,
and Maple
Preface
for these notes.
A Decomposition for Matrices
Exp(tA)
Self Adjoint Transformations in
Inner-Product Spaces
The Gerschgorin Circle Theorem
Convergence
Orthogonality and Closest Point
Projection
Orthogonal, Nonexpansive, &
Self-Adjoint 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
Index for
these notes.
Maple Constructions for the Text