Some Basic Stuff about Linear Operators and Vector Spaces ,
by Robert H. Stolt
Contents:
Vector Spaces
Hilber Spaces
Subspaces
Dirac Notation
Vector Representations
Linear Operators
What on Earth is a "Ket-Bra"?
Miscellaneous Properties of Linear Operators
Elements of Operators
Operator Representations
The Unit Operator
Local Operators and Differential Operators
Operator Inverses
Adjoints
Self-adjoint (Hermitian) Operators
Operator Inverses
Unitary and Isometric Operators
Projectors
Eigenvectors and Eigenvalues
Spectral Decomposition and Functions of Operators
Green's Functions or Resolvants
The Lippmann-Schwinger Equations and the Born Series
The T-hat Operator
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