This chapter refreshes such necessary algebraic knowledge as will be needed in this book. It introduces function spaces, the meaning of a linear operator, and the properties of unitary matrices. The homomorphism between operations and matrix multiplications is established, and the Dirac notation for function spaces is defined. For those who might wonder why the linearity of operators need be considered, the final section introduces time reversal, which is anti-linear.
CITATION STYLE
Ceulemans, A. J. (2013). Function Spaces and Matrices (pp. 11–19). https://doi.org/10.1007/978-94-007-6863-5_2
Mendeley helps you to discover research relevant for your work.